Where is the missing dollar?

Jump to Last Post 1-9 of 9 discussions (9 posts)
  1. PlanksandNails profile image85
    PlanksandNailsposted 5 years ago

    Where is the missing dollar?

    A pizza costs $30. Three men agree, and each man pays $10 cash to split a pizza between them for dinner at a local pizzeria. The waiter realizes that he has made a mistake with the order; the pizza is on special for only $25. The waiter grabs $5 from the till to make up the difference for their order and walks towards the men's table. He cannot figure out how to evenly split the $5 between the three men, so he decides to give each man $1 and keep a $2 tip for himself. This meant each man paid $9 each for the pizza plus a $2 tip, which totals $29.

    What happened to the other $1?

  2. TerryK81 profile image61
    TerryK81posted 5 years ago

    the waiter just cheated them out of a $1.

  3. Gina145 profile image82
    Gina145posted 5 years ago

    There is no missing dollar.
    Each man paid $9, so in total they paid $27.
    The pizza cost $25, and the tip was $2, which brings the total spent to $27.

  4. Livingtwentyfirst profile image77
    Livingtwentyfirstposted 5 years ago

    No dollar is anywhere..any maths done bring a small error of only about 0-0.1

  5. SidKemp profile image91
    SidKempposted 5 years ago

    The men paid $10 each. Totalling $30.

    $25 ended up in the restaurant cash register. $3 ended up back with the men. $2 ended up with the waiter. Total $30.

    If you say that each man paid $9, that is also true. Each man paid $10, and got $1 back. So the total there is $27 that the three men paid. That $27 was $25 to the cash register and $2 to the waiter. No missing dollar there, either.

    The trick in the question is in the last line, where it says "each man paid $9 for the pizza PLUS a $2 tip." No, each man paid $9 for the pizza INCLUDING a $2 tip. The "missing" amount is $3, not $1, and it was not missing at all; It was returned to the three customers, $1 each.

  6. Dont Taze Me Bro profile image61
    Dont Taze Me Broposted 5 years ago

    Really? Each man paid $9.00 for the pizza? I don't think so,

    each man paid 8.333 for the pizza = $25 the total cost of the transaction, leaving $5.00 change to be returned (not part of the transaction) of which each man received a $1.00, not a refund but change - therefore totally outside the transaction cost and the waiter kept $2.00 tip from the change, again outside the cost of transaction.

    So, if you are paying attention it all adds up.

  7. Doc Snow profile image93
    Doc Snowposted 5 years ago

    What other $1?  There are two transactions here, not one.  The first is for $30, the second for $5.  Muddling the two creates an ingenious confusion.

    First, the men pay $30, which is received by the restaurant.  Everything balances.

    Second, the restaurant rebates $5.  This should be $1.67 each (neglecting the rounding error), but the waiter's skim of $2 takes $.67 from each man, leaving them $1 each instead.  Everything balances in this 3-way (or 5-way) transaction.

    Note, though, that this makes $28 ($25 true cost plus $3 'rebated') 'for the pizza', not $27!   That's the 'missing' dollar, since $28 plus $2 makes $30.

    Which amounts to what Sid and Don't Taze Me said, only they said it first and better.

  8. ftclick profile image54
    ftclickposted 5 years ago

    No. each of the 3 men spent  $10
    Pizza was $25, So they each received $1 back ($3 + $25 spent) equals $28.
    Waiter keeps $2. Nothing missing.
    Done !

  9. Slarty O'Brian profile image84
    Slarty O'Brianposted 5 years ago

    The answer is in the division of the 25 dollars, not the 30.They pay 10 dollars each but In the end each man pays 8.3333333 (the 3s after the decimal are infinite) for the pizza. Three times 8.3333333 etc, makes 25 dollars. The waiter pocketed 2 dollars and gave the remaining three to the three men. So the dollar is in the 33.33333 etc cents  .

    3 x 8 = 24
    3 x 33.33333 cents is rounded off to = 1 dollar

    So each man pays a 66.66666666 cent tip. which is the 2 dollars the waiter kept.

    3 x 66.6666666 =200 cents

    So to answer the question: The dollar is in the til. it is the twenty fifth dollar which all the men had to split.

    They each got one dollar back, and the waiter kept two, making the remaining 5 that makes 30.   

    Had he given them back exact change he would have had to give them each 1.6666666 etc back. So he would have had to keep a penny, leave it in the til, or physically split it three ways.

    He could have also just given them the 5 dollars back and let them fight over it.

 
working

This website uses cookies

As a user in the EEA, your approval is needed on a few things. To provide a better website experience, hubpages.com uses cookies (and other similar technologies) and may collect, process, and share personal data. Please choose which areas of our service you consent to our doing so.

For more information on managing or withdrawing consents and how we handle data, visit our Privacy Policy at: https://hubpages.com/privacy-policy#gdpr

Show Details
Necessary
HubPages Device IDThis is used to identify particular browsers or devices when the access the service, and is used for security reasons.
LoginThis is necessary to sign in to the HubPages Service.
Google RecaptchaThis is used to prevent bots and spam. (Privacy Policy)
AkismetThis is used to detect comment spam. (Privacy Policy)
HubPages Google AnalyticsThis is used to provide data on traffic to our website, all personally identifyable data is anonymized. (Privacy Policy)
HubPages Traffic PixelThis is used to collect data on traffic to articles and other pages on our site. Unless you are signed in to a HubPages account, all personally identifiable information is anonymized.
Amazon Web ServicesThis is a cloud services platform that we used to host our service. (Privacy Policy)
CloudflareThis is a cloud CDN service that we use to efficiently deliver files required for our service to operate such as javascript, cascading style sheets, images, and videos. (Privacy Policy)
Google Hosted LibrariesJavascript software libraries such as jQuery are loaded at endpoints on the googleapis.com or gstatic.com domains, for performance and efficiency reasons. (Privacy Policy)
Features
Google Custom SearchThis is feature allows you to search the site. (Privacy Policy)
Google MapsSome articles have Google Maps embedded in them. (Privacy Policy)
Google ChartsThis is used to display charts and graphs on articles and the author center. (Privacy Policy)
Google AdSense Host APIThis service allows you to sign up for or associate a Google AdSense account with HubPages, so that you can earn money from ads on your articles. No data is shared unless you engage with this feature. (Privacy Policy)
Google YouTubeSome articles have YouTube videos embedded in them. (Privacy Policy)
VimeoSome articles have Vimeo videos embedded in them. (Privacy Policy)
PaypalThis is used for a registered author who enrolls in the HubPages Earnings program and requests to be paid via PayPal. No data is shared with Paypal unless you engage with this feature. (Privacy Policy)
Facebook LoginYou can use this to streamline signing up for, or signing in to your Hubpages account. No data is shared with Facebook unless you engage with this feature. (Privacy Policy)
MavenThis supports the Maven widget and search functionality. (Privacy Policy)
Marketing
Google AdSenseThis is an ad network. (Privacy Policy)
Google DoubleClickGoogle provides ad serving technology and runs an ad network. (Privacy Policy)
Index ExchangeThis is an ad network. (Privacy Policy)
SovrnThis is an ad network. (Privacy Policy)
Facebook AdsThis is an ad network. (Privacy Policy)
Amazon Unified Ad MarketplaceThis is an ad network. (Privacy Policy)
AppNexusThis is an ad network. (Privacy Policy)
OpenxThis is an ad network. (Privacy Policy)
Rubicon ProjectThis is an ad network. (Privacy Policy)
TripleLiftThis is an ad network. (Privacy Policy)
Say MediaWe partner with Say Media to deliver ad campaigns on our sites. (Privacy Policy)
Remarketing PixelsWe may use remarketing pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to advertise the HubPages Service to people that have visited our sites.
Conversion Tracking PixelsWe may use conversion tracking pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to identify when an advertisement has successfully resulted in the desired action, such as signing up for the HubPages Service or publishing an article on the HubPages Service.
Statistics
Author Google AnalyticsThis is used to provide traffic data and reports to the authors of articles on the HubPages Service. (Privacy Policy)
ComscoreComScore is a media measurement and analytics company providing marketing data and analytics to enterprises, media and advertising agencies, and publishers. Non-consent will result in ComScore only processing obfuscated personal data. (Privacy Policy)
Amazon Tracking PixelSome articles display amazon products as part of the Amazon Affiliate program, this pixel provides traffic statistics for those products (Privacy Policy)