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Moves like Jagger
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"Moves like Jagger"
Single by Maroon 5 featuring Christina Aguilera
from the album Hands All Over
Released
June 21, 2011 (2011-06-21)
Format
CD single
digital download
Recorded
May 2011; Los Angeles, California, United States[1]
Genre
Dance-pop
electropop
Length
3:21
Label
A&M/Octone
Songwriter(s)
Adam Levine
Benny Blanco
Ammar Malik
Shellback
Producer(s)
Shellback
Benny Blanco
Maroon 5 singles chronology
"Never Gonna Leave This Bed"
(2011) "Moves like Jagger"
(2011) "Payphone"
(2012)
"Never Gonna Leave This Bed"
(2011) "Moves like Jagger"
(2011) "Payphone"
(2012)
Christina Aguilera singles chronology
"Show Me How You Burlesque"
(2010) Show Me How You Burlesque2010 "Moves Like Jagger"
(2011) Moves Like Jagger2011 "Your Body"
(2012) Your Body2012
Audio sample
"Moves Like Jagger"
file
help
Music video
"Moves Like Jagger" on YouTube
"Moves like Jagger" is a song by American band Maroon 5 featuring singer Christina Aguilera. It was released by A&M Octone Records on June 21, 2011, as the fourth and final single from the re-release of the group's third studio album Hands All Over (2010). The song was written by Adam Levine, Ammar Malik, Benjamin Levin, and Shellback; the latter two are also the producers. "Moves like Jagger" is a dance-pop and electropop song and is backed by synths and electronic drums. The lyrics refer to a male's ability to impress a love interest with his dance moves, which he compares to those of Mick Jagger, lead singer of The Rolling Stones.
"Moves like Jagger" was well received by music critics, who praised the song's chorus. Praise also went to the vocals of Levine and Aguilera, with critics pointing out solid chemistry between the two. Likewise, the song was a commercial success, going on to top the charts in over 18 countries. In the United States, "Moves like Jagger" became the band's second (after 2007's "Makes Me Wonder") and Aguilera's fifth number-one single and is among the best-selling singles of all time. The song also made Aguilera the second female artist to score a number-one hit in the 1990s, 2000s, and 2010s (the first being Britney Spears), which in turn made her the fourth female to score number-one singles in three different decades, after Janet Jackson, Madonna and Spears. Worldwide, it was the ninth-best-selling digital single of 2011 with sales of 7 million copies.[2] As of 2016, the song ranks as one of the eight best-selling digital singles of all time with sales of over 15 million copies.
The music video was directed by Jonas Åkerlund. The video features an old video footage of Jagger and his iconic dance moves. "Moves like Jagger" was nominated for a Grammy Award for Best Pop Duo/Group Performance at the 54th Grammy Awards but lost to "Body and Soul" by Tony Bennett and Amy Winehouse. The song was first performed in June 2011 on an episode of The Voice (where Levine and Aguilera both served as judges/coaches).
Contents
[hide]
1 Parents Guide
2 Background and composition
3 Critical reception
4 Chart performance
5 Music video
5.1 Background
5.2 Synopsis
5.3 Reception
6 Live performances
7 Cover versions and usage in media
8 Track listings
9 Charts
9.1 Weekly charts
9.2 Year-end charts
10 Certifications and sales
11 Awards and nominations
12 Release history
13 Remix
14 References
15 External links
Parents Guide[edit]
Some Sex
One use of S#!t
Background and composition[edit]
"Moves like Jagger" was written and produced by Benjamin Levin and Shellback, while additional writing was done by Adam Levine.[3] When asked about the song, Levine said, "It was one of those songs that was definitely a risk; it's a bold statement. We've never really released a song like that. But it's exciting to do something different, do something new. I'm just happy everyone likes it."[4] "Moves like Jagger" is a dance-pop[5][6] and electropop song,[7] with elements of disco, pop, rock and soul.[8][9] It features a "throbbing" synth, fast-paced beat and electronic drums.[8][10] Robbie Daw from Idolator wrote that "Moves like Jagger" slightly echoes The Rolling Stones' chart-topping 1978 classic "Miss You", and added that "Levine’s voice is distorted via Auto-Tune on the chorus."[8] The song is introduced by a whistle melody and light, funky guitar in the key of B minor with a tempo of 128 beats per minute. Levine tries his best to impress his female interest with dance moves like The Rolling Stones frontman Mick Jagger: "I don't need to try to control you / Look into my eyes and I'll own you / With the moves like Jagger / I got the moves like Jagger / I got the moves like Jagger."[11] Aguilera appears midway through the song's bridge, playing her role as a tease: "You want to know how to make me smile / Take control, own me just for the night / But if I share my secret / You gonna have to keep it / Nobody else can see this."[1]
Critical reception[edit]
"An infectious whistle melody kicks things off with light, funky guitar and we're on our way to a great summer song. Maroon 5's Adam Levine guides us into the song with a trademark blend of soulful and slightly aloof. Later the throaty sound of Christina Aguilera grounds "Moves like Jagger" making it all a near perfect summer of 2011 audio treat."
—Bill Lamb on his review for "Moves like Jagger" on About.com.[12]
Bill Lamb from About.com gave the song a positive review, giving the single four-and-a-half out of five stars.[12] Lamb wrote that, "The funky, whistle driven melody here is loose, light, and irresistibly funky. The punchy guest vocal from fellow judge Christina Aguilera is simply icing on the cake. There is a real vocal chemistry between Aguilera and Levine."[12] Lamb called the song an "outstanding summer song", writing that "It is light, danceable, and would sound great in the car with the top down."[12] Robbie Daw from Idolator wrote that "It takes a full two minutes and 15 seconds for Christina's soulful pipes to begin trilling on "Moves like Jagger." But once she does, she immediately steals the show."[8] Daw concluded by writing that "this is the best thing from either of these two in years."[8]
While naming the song "a contender for 2011's song of the summer", James Dinh from MTV Newsroom wrote that "Adam Levine and Christina Aguilera have turned their friendly rivalry on NBC's The Voice into some studio chemistry."[1] Scott Schelter from Pop Crush awarded "Moves like Jagger" four-and-a-half out of five stars.[9] Schelter called the song "danceable and fun" and wrote that "the song would've been great even without Aguilera, but her fiery cameo makes it that much better."[9] Robert Copsey wrote for Digital Spy: " "Take me by the tongue and I'll know you/ Kiss me till you're drunk and I'll show you," Ad insists over a funky, finger-clicking bassline and an irresistible whistle hook that immediately burrows deep into the recesses of your brain. "If I share my secret/ You're gonna have to keep it," Christina says on her short, sweet and perfectly formed cameo. We've already got your number, love, but our surprise is still 100% genuine."[13]
Jagger himself acknowledged the song in an interview, calling the concept "very flattering."[14] Jagger also mentioned the song on a 2012 episode of Late Show with David Letterman, in which he read the Top Ten List and joked about his inability to collect royalties from "Moves like Jagger".[15]
Chart performance[edit]
"It's been great. There's so much more buzz now surrounding the record. It's building up again. We're so happy for the success that we've had,".
—Adam Levine talking to Parade about the song's success.[16]
The song made Aguilera only the second female artist to have a number-one single in the 1990s, 2000s and 2010s, along with Britney Spears.
On the issue dated July 9, 2011, "Moves like Jagger" debuted at number eight on the United States Billboard Hot 100,[17] and topped it in the week ending September 10, 2011, as the greatest airplay gainer for the third consecutive week. It spent 10 weeks in the top 3.[18] For Maroon 5, with prior top hits, this is the first time at the number-one position on the Hot 100 chart since their single "Makes Me Wonder" in 2007. For Aguilera, this is her fifth number-one position, her first since "Lady Marmalade" in 2001. Incidentally, Levine is the first artist to achieve both the number-one position on the Hot 100 as a member of a band and reach the top 10 as a solo artist in the same week.[19] "Moves like Jagger" made Aguilera the fourth female artist, behind Janet Jackson and Madonna (1980s, 1990s, and 2000s) and Britney Spears (1990s, 2000s, and 2010s), to top the Hot 100 in three decades, as well as the eighth artist overall. (If counting her records in the duo Sonny & Cher, Cher also scored number-one singles in three decades—the 1960s, 1970s, and 1990s.) During the week of October 1, 2011, the song advanced to number one on the Hot 100 Airplay.[20] By March 2013, it had sold over 6 million digital copies in the United States.[21] As of June 2015, its total stands at 6.7 million copies sold in the US.[22]
On August 1, 2011, "Moves like Jagger" reached number two on the Australian ARIA Charts, making it Aguilera's highest charting single since "Candyman" in 2007,[23] and held the runner-up spot for ten straight weeks. On the week of August 20, 2011, the song topped the Canadian Hot 100 chart, becoming the band's second number-one single and Aguilera's third number-one single, first in almost nine years (the last one was the 2002 hit "Beautiful").[24]
"Moves like Jagger" made its debut on the UK Singles Chart at number three and sold 56,000 copies on the issue dated August 21, 2011, becoming Maroon 5's 4th top 10 hit and Aguilera's 15th top 10 hit in the UK.[25] Starting at the issue date September 10, it peaked at number two for seven consecutive weeks, equalling the all-time UK record held by All-4-One's "I Swear"[26] for the longest stay at number two by a hit not to reach number one. On October 5, 2011, the song reached number one in the mid-week chart update but failed to reach the number-one spot the following Sunday due to the mid-week release of Rihanna's new single "We Found Love" which debuted at number one keeping "Moves like Jagger" away from the number-one position. Uniquely, in the first six of these weeks it was held off the top of the chart by six different number-one singles consecutively, each of which debuted directly ahead of it; this after having already been held at number three behind two different pairs of new entries in its first[27] two[28] weeks on the chart. As of week ending October 22, "Moves like Jagger" dropped two places to number 4, ending a seven-week run in the runner-up position.[29] After spending seven straight weeks at number two in the singles charts without ever managing to claim the number-one spot, it ironically peaked at number two in the year end chart of 2011's best-selling singles as well. It became the biggest-selling song not to peak at number one in 2012. As of October 2014, "Moves like Jagger" has sold 1.4 million copies in the United Kingdom, in an uninterrupted 52-week run in the chart.[30]
Music video[edit]
Background[edit]
The music video for "Moves like Jagger" was directed by Jonas Åkerlund and filmed in the Los Angeles Theater, Los Angeles, California on July 8, 2011.[31][32] On July 9, Aguilera posted an image of herself from the video shoot via Twitter, saying, "Always great to see Jonas Akerlund. He created the perfect feel for the song. Expect a fun video."[33] The image showed Aguilera performing with a band in front of a background of the American flag.[33] Four shirtless images of Levine from the shoot were also released online the same day.[34] More images from the video shoot were released online on July 11, showing Levine and Aguilera performing in front of an American and British-themed backdrop with confetti falling from the ceiling.[32] Another image showed Aguilera performing in front of a black backdrop with her name "Christina" shown in pink.[32] The Rolling Stones frontman Mick Jagger made an appearance in the video "via archive footage".[31] The video features an incorrect, simplified version of the Union Flag as a backdrop for parts of the song. For Levine and his bandmates, the song and video are all about exposing a new generation to the rock legend. "We were lucky enough to get Mick's endorsement [for the video], as far as him giving us access to a bunch of different footage that's so cool," Levine told MTV News when they visited the video's set last month. "Not many people have seen [it], especially a newer generation of people that don't know so much about how incredible he was."[35] The music video was released on August 8, 2011.
Synopsis[edit]
Levine and Aguilera singing together in the music video.
The video opens with black-and-white footage of the theater, shots of work crews assembling lighting and equipment onstage and groups of extras getting into costume, warming up for a shoot. This is followed by classic footage of Jagger, during which Michael Parkinson asks The Rolling Stones frontman how long he plans to make music. "I don't know. I never thought I'd be doing it for two years even," a young Jagger says, as the opening whistles of the Maroon 5 song kick in, throughout which a slew of Jagger lookalikes are shown dancing up to a central microphone, interlaced with archival footage of Jagger himself and shots of band members James Valentine, Jesse Carmichael, Michael Madden and Matt Flynn. When Maroon 5 frontman Adam Levine eventually appears, he is shirtless, tattooed and wearing tight black pants. The video is mostly a mash-up of people trying to move like Jagger, including Levine. When Aguilera makes her brief appearance, she is dressed for a retro look with mascara-heavy lashes and a floppy hat.[35]
Reception[edit]
Becky Bain wrote for Idolator that "Adam Levine wears a whole lot of ink on his upper torso instead of a shirt, and Christina Aguilera applies an entire bottle of mascara around her eyes."[36] The Huffington Post commented "We weren't sure whether Levine and Aguilera would be able to bring it like Mick, but then again, no one can ever touch the original. The best they can do is try to imitate Jagger's greatness—and Levine and Aguilera do a pretty solid job of that."[37]
Live performances[edit]
"Moves like Jagger" was performed for the first time with Aguilera on June 21, 2011, during The Voice, a talent competition show on which both she and Levine are coaches.[1] Maroon 5 performed this song without Aguilera on America's Got Talent on August 3, 2011 in the results show of the fourth week of the Hollywood performances.[38] The song was performed live on September 8, 2011 at the NFL pre-show on Lambeau Field in Green Bay, Wisconsin, before the start of the 2011 NFL season.[39] The song was also played on The Ellen DeGeneres Show in mid-September 2011, on Saturday Night Live in November 2011, as well as the 2011 American Music Awards and the 2011 Victoria's Secret Fashion Show.
Cover versions and usage in media[edit]
American singer Demi Lovato covered the song during her A Special Night with Demi Lovato, blended with Michael Jackson's song "Workin' Day and Night". The cast of the television series Glee, also covered this song with The Rolling Stones' song "Jumpin' Jack Flash", from the episode "Yes/No". In November 2011, the Victoria's Secret Angel models performed a lip-synced version of the song. In July 2012, Kurt Hugo Schneider created a musical medley of Maroon 5's songs titled "The Maroon 5 Medley", performed by Victorious star Victoria Justice and Max Schneider. "The Maroon 5 Medley" contains eight songs ("Moves like Jagger", "Sunday Morning", "This Love", "She Will Be Loved", "Makes Me Wonder", "Won't Go Home Without You", "Misery" and "Payphone").
The song was used as the television advertisement in the film Magic Mike (2012).
Track listings[edit]
Digital download[40]
No.
Title
Length
1. "Moves like Jagger" (featuring Christina Aguilera) 3:21
German CD single[41]
No.
Title
Length
1. "Moves like Jagger" (featuring Christina Aguilera) 3:21
2. "Moves like Jagger" (featuring Christina Aguilera (Soul Seekerz Radio Edit)) 3:25
Charts[edit]
Weekly charts[edit]
Chart (2011–12)
Peak
position
Australia (ARIA)[42]
2
Austria (Ö3 Austria Top 40)[43]
1
Belgium (Ultratop 50 Flanders)[44]
4
Belgium (Ultratop 50 Wallonia)[45]
4
Brazil (ABPD)[46]
1
Bulgaria (IFPI)[47]
1
Canada (Canadian Hot 100)[48]
1
Czech Republic (Rádio Top 100)[49]
2
Denmark (Tracklisten)[50]
1
Europe (Euro Digital Songs)[51]
1
Finland (Suomen virallinen lista)[52]
1
France (SNEP)[53]
3
Germany (Official German Charts)[54]
2
Greece Digital Songs (Billboard)[55]
1
Hungary (Rádiós Top 40)[56]
1
Ireland (IRMA)[57]
1
Israel (Media Forest)[58]
1
Italy (FIMI)[59]
2
Japan (Japan Hot 100)[60]
30
Lebanon (The Official Lebanese Top 20)[61]
1
Luxembourg Digital Songs (Billboard)[62]
1
Mexican Airplay Chart (Billboard International)[63]
1
Netherlands (Dutch Top 40)[64]
1
Netherlands (Single Top 100)[65]
2
New Zealand (Recorded Music NZ)[66]
1
Norway (VG-lista)[67]
1
Poland (Polish Airplay Top 100) [68]
1
Portuguese Digital Songs (Billboard)[69]
1
Russia (Radio TopHit Airplay)[70]
1
Scotland (Official Charts Company)[71]
1
Slovakia (Rádio Top 100)[72]
1
South Korea (Gaon)[73]
1
South Korea International Songs (Gaon)[74]
1
Spain (PROMUSICAE)[75]
3
Sweden (Sverigetopplistan)[76]
1
Switzerland (Schweizer Hitparade)[77]
5
UK Singles (Official Charts Company)[78]
2
US Billboard Hot 100[79]
1
US Adult Contemporary (Billboard)[80]
7
US Adult Top 40 (Billboard)[81]
1
US Dance Club Songs (Billboard)[82]
9
US Hot Latin Songs (Billboard)[83]
8
US Mainstream Top 40 (Billboard)[84]
1
US Rhythmic (Billboard)[85]
9
Venezuela Pop/Rock Songs (Record Report)[86]
1
Chart (2014)
Peak
position
Czech Republic (Singles Digitál Top 100)[87]
95
Chart (2017)
Peak
position
South Korea International Chart (Gaon)[88]
56
Year-end charts[edit]
Chart (2011)
Position
Australia (ARIA) 3
Austria (Ö3 Austria Top 40)[89] 22
Canada (Canadian Hot 100)[90] 5
Denmark (Tracklisten)[91] 1
Germany (Media Control AG)[92] 15
Greece (IFPI)[93] 45
Hungary (Rádiós Top 40)[94] 13
Ireland (IRMA)[95] 7
Israel (Media Forest)[96] 5
Italy (FIMI)[97] 9
Japan (Japan Hot 100)[98] 56
Netherlands (Dutch Top 40)[99] 3
Netherlands (Mega Single Top 100)[100] 6
New Zealand (RIANZ)[101] 2
Poland (ZPAV)[102] 39
South Korea International Songs (Gaon)[103] 1
Sweden (Digilistan)[104] 5
Switzerland (Schweizer Hitparade)[105] 17
Spain (PROMUSICAE)[106] 21
UK Singles (Official Charts Company)[107] 2
US Billboard Hot 100[108] 9
US Adult Contemporary[109] 41
US Adult Pop Songs[110] 8
US Pop Songs[111] 10
Venezuela Pop Rock General (Record Report)[112] 3
Chart (2012)
Position
Canada (Canadian Hot 100)[113] 17
Greek Airplay Chart[114] 65
Hungary (Rádiós Top 40)[115] 18
Israel (ACUM)[116] 7
Poland (ZPAV)[117] 14
South Korea (Gaon)[118] 55
South Korea International Songs (Gaon)[118] 2
Spain (PROMUSICAE)[119] 33
Sweden (Digilistan) 45
UK Singles (Official Charts Company)[120] 58
US Billboard Hot 100[121] 36
US Adult Contemporary[122] 12
US Adult Pop Songs[123] 27
Venezuela Pop Rock General (Record Report)[124] 28
Chart (2013)
Position
Slovenia (SloTop50)[125] 30
South Korea International Songs (Gaon)[126] 14
Chart (2014)
Position
South Korea International Songs (Gaon)[127] 48
Chart (2015)
Position
South Korea International Songs (Gaon)[128] 30
Chart (2016)
Position
South Korea International Songs (Gaon)[129] 45
Certifications and sales[edit]
Region
Certification
Certified units/Sales
Australia (ARIA)[130]
11× Platinum 770,000^
Belgium (BEA)[131]
Gold 15,000*
Canada (Music Canada)[132]
8× Platinum 685,000[133]
Denmark (IFPI Denmark)[134]
2× Platinum 120,000^
Finland (Musiikkituottajat)[135]
Platinum 10,022[135]
France (SNEP)[136]
Gold 150,000*
Germany (BVMI)[137]
Platinum 400,000^
Italy (FIMI)[138]
2× Platinum 150,000*
Japan (RIAJ)[139]
PC download
Gold 100,000^
New Zealand (RMNZ)[140]
3× Platinum 45,000*
South Korea (Gaon Chart)
None 5,520,000[141]
Spain (PROMUSICAE)[142]
Platinum 40,000^
Sweden (GLF)[143]
5× Platinum 200,000^
Switzerland (IFPI Switzerland)[144]
Platinum 30,000^
United Kingdom (BPI)[145]
2× Platinum 1,503,000[146]
United States (RIAA)[147]
6× Platinum 6,700,000[22]
*sales figures based on certification alone
^shipments figures based on certification alone
Awards and nominations[edit]
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Year
Organization
Award
Result
2012 Billboard Music Awards Top 100 Song Nominated
Top Streaming Song Nominated
Top Digital Song Nominated
Top Pop Song Nominated
Gaon Chart K-Pop Awards International Song of the Year Won
Grammy Awards Best Pop Duo/Group Performance Nominated
MTV Video Music Awards Japan Best Group Video Nominated
Best Collaboration Nominated
MuchMusic Video Awards International Video of the Year - Group Nominated
Myx Music Awards Favorite International Video Nominated
Premios 40 Principales Best International Song Nominated
Teen Choice Awards Choice Music: Single by a Group Nominated
Release history[edit]
Country
Date
Format
Canada[148]
June 21, 2011 Digital download
United States[40]
Australia[149]
June 22, 2011
Denmark[150]
France[151]
Netherlands[152]
New Zealand[153]
Sweden[154]
Australia[155]
June 27, 2011 Contemporary hit radio
United Kingdom[156]
August 14, 2011 Digital download
Germany[41]
August 26, 2011 CD single
Remix[edit]
The song's official remix features both Aguilera and Pittsburgh-based rapper Mac Miller. It was first made available on September 29, 2011, via hip hop website HipHopDX.com, before being released officially via iTunes on October 4.[157] The remix remains largely unchanged from the original song, with Mac Miller's two verses each coming at the beginning of the track and prior to Aguilera's refrain respectively.[158] Mac Miller was asked to appear on the remix of "Moves like Jagger" by producer Benny Blanco, following consultation with Maroon 5 frontman Adam Levine. The rapper later said that he hoped to be involved in an official music video for the track, but no such video has been announced yet.[159]
References[edit]
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External links[edit]
Lyrics of this song at MetroLyrics
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text:
Missing dollar riddle
From Wikipedia, the free encyclopedia
Jump to: navigation, search
The missing dollar riddle is a famous riddle that involves an informal fallacy. It dates back to at least the 1930's, although similar puzzles are much older.
Although the wording and specifics can alter, the puzzle runs along these lines:
Three people check into a hotel room. The clerk says the bill is $30, so each guest pays $10. Later the clerk realizes the bill should only be $25. To rectify this, he gives the bellhop $5 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn't know the total of the revised bill, the bellhop decides to just give each guest $1 and keep $2 as a tip for himself. Each guest got $1 back, so now each guest only paid $9, bringing the total paid to $27. The bellhop has $2. And $27 + $2 = $29 so, if the guests originally handed over $30, what happened to the remaining $1?
Contents
[hide]
1 Solution
2 History
3 See also
4 References
5 External links
Solution[edit]
The misdirection in this riddle is at the end of the description, where a bunch of unrelated totals are added together, and the listener assumes these numbers should add to 30. There is, in fact, no reason this sum should add to 30. The exact sum mentioned in the riddle is computed as:
SUM = $9 (payment by Guest 1) +
$9 (payment by Guest 2) +
$9 (payment by Guest 3) +
$2 (money in bellhop's pocket)
The trick here is to realize that this is not a sum of the money that the three people paid originally, as that would need to include the money the clerk has ($25). This is instead a sum of a smaller amount the people could have paid ($9 * 3 people = $27), added with the additional money that the clerk would not have needed had they paid that smaller amount ($27 paid - $25 actual cost = $2). Another way to say this is, the $27 already includes the bellhop's tip. To add the $2 to the $27 would be to double-count it. So, the three guests' cost of the room, including the bellhop's tip, is $27. Each of the 3 guests has $1 in his pocket, totalling $3. When added to the $27 revised cost of the room (including tip to the bellhop), the total is $30.
To obtain a sum that totals to the original $30, every dollar must be accounted for, regardless of its location.
Thus, the sensible sum that we really desire is this one:
$30 = $1 (inside Guest pocket) +
$1 (inside Guest pocket) +
$1 (inside Guest pocket) +
$2 (inside bellhop's pocket) +
$25 (hotel cash register)
This sum does indeed come out to $30.
To further illustrate why the riddle's sum does not relate to the actual sum, we can alter the riddle so that the discount on the room is extremely large. Consider the riddle in this form:
Three people check into a hotel room. The clerk says the bill is $30, so each guest pays $10. Later the clerk realizes the bill should only be $10. To rectify this, he gives the bellboy $20 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn't know the total of the revised bill, the bellhop decides to just give each guest $6 and keep $2 as a tip for himself. Each guest got $6 back: so now each guest only paid $4; bringing the total paid to $12. The bellhop has $2. And $12 + $2 = $14 so, if the guests originally handed over $30, what happened to the remaining $16?
Now it is more obvious that the question is silly. One cannot simply add a bunch of payments together and expect them to total an original amount of circulated cash.
More economically, money is accounted by summing together all paid amounts ( liabilities ) with all money in one's possession ( assets ). That abstract formula holds regardless of the relative perspectives of the actors in this exchange.
The guests of the hotel paid $27, but also have $3 among their pockets at the story's end. Their assets are $3, and their liabilities are $27 ( $30=27+3 ) Thus the original total is accounted.
From the perspective of the hotel clerk, the hotel has $25 in assets and lost $5 in liabilities ($30=25+5).
From the perspective of the bellhop, his assets are $2, and his liabilities are $3 to guests and $25 to the register at the desk. ($30 = 2+3+25).
History[edit]
There are many variants of the puzzle. Professor David Singmaster's Chronology of Recreational Mathematics[1] suggest these type of mathematical misdirection puzzles descended from a problem in an 18th-century arithmetic, Francis Walkingame's Tutor's Assistant[2] which was published, and republished, from 1751 to 1860 where it appeared on page 185, prob. 116 in this form, "If 48 taken from 120 leaves 72, and 72 taken from 91 leaves 19, and 7 taken from thence leaves 12, what number is that, out of which, when you have taken 48, 72, 19, and 7, leaves 12?" Singmaster adds, "Though this is not the same as the withdrawal problems below, the mixing of amounts subtracted and remainders makes me think that this kind of problem may have been the basis of the later kind."
An 1880 misdirection is given as "Barthel sees two boxes at a jeweller's, priced at 100 and 200. He buys the cheaper one and takes it home, where he decides he really prefers the other. He returns to the jeweller and gives him the box back and says that the jeweller already has 100 from him, which together with the returned box, makes 200, which is the cost of the other box. The jeweller accepts this and gives Barthel the other box and Barthel goes on his way. Is this correct?"
A model more similar in style to the modern version was given by Cecil B. Read in his 1933 Mathematical fallacies. His puzzle produces an extra dollar. A man puts $50 in the bank. Then on subsequent days he withdrew $20 leaving $30; then withdrew $15 leaving $15; withdrew $9 leaving $6; withdrew $6 leaving $0. But $30 + $15 + $6 = $51. Where did the extra dollar come from?
Another entry from 1933, R. M. Abraham's Diversions and Pastimes (still available in a Dover version) poses a slightly different approach with this problem from page 16 (problem 61). "A traveller(sic) returning to New York found that he had only a ten dollar postal money order, and that his train fare was seven dollars. The ticket clerk refused to accept the money order, so the traveller went across the road to a pawn shop and pawned it for seven dollars. On his way back to the station he met a friend, who, to save the traveller the trouble of returning to redeem the money order, bought the pawn ticket from him for seven dollars. The traveller then bought his ticket and still had seven dollars when he got to New York. Who made the loss?" David Darling in his The Universal book of Mathematics,[3] credits this as an earlier version of the three men in a hotel version above.
Even more similar is the English, The Black-Out Book by Evelyn August in 1939; What happened to the shilling?, pp. 82 & 213. Three girls each pay five shillings to share a room. The landlord refunds 5 shillings via the bellboy, who gives them each one and keeps two.
And one more from the same theme appears in an Abbot and Costello routine in which Abbot asks Costello for a fifty dollar loan. Costello holds out forty dollars and says, "That's all I have." Abbot responds, "Fine, you can owe me the other ten."
The riddle is used by psychotherapist (Chris Langham) with his mathematician client (Paul Whitehouse) in episode 5 of the 2005 BBC comedy series Help,[4]
See also[edit]
Missing square puzzle
References[edit]
Jump up ^ http://www.puzzlemuseum.com/singma/singma6/SOURCES/singma-sources-edn8-2004-03-19.htm#_Toc69533836
Jump up ^ https://archive.org/details/walkingamesarit00walkgoog
Jump up ^ The Universal Book of Mathematics: From Abracadabra to Zeno's Paradoxes Publisher: Wiley, 2004 ISBN 9780471270478
Jump up ^ [1]
External links[edit]
Snopes page: "Missing Dollar Puzzle"
Psychology Today: "Where is the Missing Dollar?"
Retrieved from "https://en.wikipedia.org/w/index.php?title=Missing_dollar_riddle&oldid=803602648"
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