Three friends problem.
$begingroup$
Once there were 3 friends A, B, C. They went together to have a lunch at a hotel. The lunch they had costed 60 according to the menu. They paid the bill each one contributing 20. But when the waiter brought the sum to the manager, the manager returned 10$ saying today is a special day. But when the waiter went to return the money, he found that the three friends left. So he got the member book and found the address and left to return money via taxi, so he kept 4 dollar for his going and returning and returned 2 dollars to each of the friends. Now Each of the friends got 2 dollar so the money they contributed = 18 dollar So total money =18*3 + 4=58. Where is the remaining 2 dollar?
puzzle
$endgroup$
add a comment |
$begingroup$
Once there were 3 friends A, B, C. They went together to have a lunch at a hotel. The lunch they had costed 60 according to the menu. They paid the bill each one contributing 20. But when the waiter brought the sum to the manager, the manager returned 10$ saying today is a special day. But when the waiter went to return the money, he found that the three friends left. So he got the member book and found the address and left to return money via taxi, so he kept 4 dollar for his going and returning and returned 2 dollars to each of the friends. Now Each of the friends got 2 dollar so the money they contributed = 18 dollar So total money =18*3 + 4=58. Where is the remaining 2 dollar?
puzzle
$endgroup$
$begingroup$
In the sleight of hand. More precisely, you're trying to add chicken to geese.
$endgroup$
– TZakrevskiy
May 12 '14 at 17:29
$begingroup$
I know i just want to share interesting questions with everyone.@TZakrevskiy
$endgroup$
– Ravindra Sahay
May 12 '14 at 17:30
1
$begingroup$
How to drive a mathematician crazy. Part deux. IOW: Old hat. Ancient even.
$endgroup$
– Jyrki Lahtonen
May 12 '14 at 17:31
$begingroup$
Well i never read that though cool one. I especially like these one way solution problems.@JyrkiLahtonen
$endgroup$
– Ravindra Sahay
May 12 '14 at 17:33
add a comment |
$begingroup$
Once there were 3 friends A, B, C. They went together to have a lunch at a hotel. The lunch they had costed 60 according to the menu. They paid the bill each one contributing 20. But when the waiter brought the sum to the manager, the manager returned 10$ saying today is a special day. But when the waiter went to return the money, he found that the three friends left. So he got the member book and found the address and left to return money via taxi, so he kept 4 dollar for his going and returning and returned 2 dollars to each of the friends. Now Each of the friends got 2 dollar so the money they contributed = 18 dollar So total money =18*3 + 4=58. Where is the remaining 2 dollar?
puzzle
$endgroup$
Once there were 3 friends A, B, C. They went together to have a lunch at a hotel. The lunch they had costed 60 according to the menu. They paid the bill each one contributing 20. But when the waiter brought the sum to the manager, the manager returned 10$ saying today is a special day. But when the waiter went to return the money, he found that the three friends left. So he got the member book and found the address and left to return money via taxi, so he kept 4 dollar for his going and returning and returned 2 dollars to each of the friends. Now Each of the friends got 2 dollar so the money they contributed = 18 dollar So total money =18*3 + 4=58. Where is the remaining 2 dollar?
puzzle
puzzle
asked May 12 '14 at 17:22
Ravindra SahayRavindra Sahay
34
34
$begingroup$
In the sleight of hand. More precisely, you're trying to add chicken to geese.
$endgroup$
– TZakrevskiy
May 12 '14 at 17:29
$begingroup$
I know i just want to share interesting questions with everyone.@TZakrevskiy
$endgroup$
– Ravindra Sahay
May 12 '14 at 17:30
1
$begingroup$
How to drive a mathematician crazy. Part deux. IOW: Old hat. Ancient even.
$endgroup$
– Jyrki Lahtonen
May 12 '14 at 17:31
$begingroup$
Well i never read that though cool one. I especially like these one way solution problems.@JyrkiLahtonen
$endgroup$
– Ravindra Sahay
May 12 '14 at 17:33
add a comment |
$begingroup$
In the sleight of hand. More precisely, you're trying to add chicken to geese.
$endgroup$
– TZakrevskiy
May 12 '14 at 17:29
$begingroup$
I know i just want to share interesting questions with everyone.@TZakrevskiy
$endgroup$
– Ravindra Sahay
May 12 '14 at 17:30
1
$begingroup$
How to drive a mathematician crazy. Part deux. IOW: Old hat. Ancient even.
$endgroup$
– Jyrki Lahtonen
May 12 '14 at 17:31
$begingroup$
Well i never read that though cool one. I especially like these one way solution problems.@JyrkiLahtonen
$endgroup$
– Ravindra Sahay
May 12 '14 at 17:33
$begingroup$
In the sleight of hand. More precisely, you're trying to add chicken to geese.
$endgroup$
– TZakrevskiy
May 12 '14 at 17:29
$begingroup$
In the sleight of hand. More precisely, you're trying to add chicken to geese.
$endgroup$
– TZakrevskiy
May 12 '14 at 17:29
$begingroup$
I know i just want to share interesting questions with everyone.@TZakrevskiy
$endgroup$
– Ravindra Sahay
May 12 '14 at 17:30
$begingroup$
I know i just want to share interesting questions with everyone.@TZakrevskiy
$endgroup$
– Ravindra Sahay
May 12 '14 at 17:30
1
1
$begingroup$
How to drive a mathematician crazy. Part deux. IOW: Old hat. Ancient even.
$endgroup$
– Jyrki Lahtonen
May 12 '14 at 17:31
$begingroup$
How to drive a mathematician crazy. Part deux. IOW: Old hat. Ancient even.
$endgroup$
– Jyrki Lahtonen
May 12 '14 at 17:31
$begingroup$
Well i never read that though cool one. I especially like these one way solution problems.@JyrkiLahtonen
$endgroup$
– Ravindra Sahay
May 12 '14 at 17:33
$begingroup$
Well i never read that though cool one. I especially like these one way solution problems.@JyrkiLahtonen
$endgroup$
– Ravindra Sahay
May 12 '14 at 17:33
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
The $18cdot3+4$ part is wrong. If The money each person initially spends is $20$. Then each person is supposed to get $3frac{1}{3}$ back. However, the waiter takes away $frac43$ per person for coming and going. So Each person therefore actually gets $frac{10}3-frac43=2$ back. In this process the total remains same.
$$text{Thou shalt not think of cheating mathematics.}$$
$endgroup$
add a comment |
$begingroup$
This is indeed an old hat. Each of the three paid $$, 18.00$, makes $$,54.00$ in all. $$,4.00$ went to the waiter and $$,50.00$ to the manager. Nothing went lost.
$endgroup$
add a comment |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f791944%2fthree-friends-problem%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
The $18cdot3+4$ part is wrong. If The money each person initially spends is $20$. Then each person is supposed to get $3frac{1}{3}$ back. However, the waiter takes away $frac43$ per person for coming and going. So Each person therefore actually gets $frac{10}3-frac43=2$ back. In this process the total remains same.
$$text{Thou shalt not think of cheating mathematics.}$$
$endgroup$
add a comment |
$begingroup$
The $18cdot3+4$ part is wrong. If The money each person initially spends is $20$. Then each person is supposed to get $3frac{1}{3}$ back. However, the waiter takes away $frac43$ per person for coming and going. So Each person therefore actually gets $frac{10}3-frac43=2$ back. In this process the total remains same.
$$text{Thou shalt not think of cheating mathematics.}$$
$endgroup$
add a comment |
$begingroup$
The $18cdot3+4$ part is wrong. If The money each person initially spends is $20$. Then each person is supposed to get $3frac{1}{3}$ back. However, the waiter takes away $frac43$ per person for coming and going. So Each person therefore actually gets $frac{10}3-frac43=2$ back. In this process the total remains same.
$$text{Thou shalt not think of cheating mathematics.}$$
$endgroup$
The $18cdot3+4$ part is wrong. If The money each person initially spends is $20$. Then each person is supposed to get $3frac{1}{3}$ back. However, the waiter takes away $frac43$ per person for coming and going. So Each person therefore actually gets $frac{10}3-frac43=2$ back. In this process the total remains same.
$$text{Thou shalt not think of cheating mathematics.}$$
answered May 12 '14 at 17:47


shaurya guptashaurya gupta
2,40051937
2,40051937
add a comment |
add a comment |
$begingroup$
This is indeed an old hat. Each of the three paid $$, 18.00$, makes $$,54.00$ in all. $$,4.00$ went to the waiter and $$,50.00$ to the manager. Nothing went lost.
$endgroup$
add a comment |
$begingroup$
This is indeed an old hat. Each of the three paid $$, 18.00$, makes $$,54.00$ in all. $$,4.00$ went to the waiter and $$,50.00$ to the manager. Nothing went lost.
$endgroup$
add a comment |
$begingroup$
This is indeed an old hat. Each of the three paid $$, 18.00$, makes $$,54.00$ in all. $$,4.00$ went to the waiter and $$,50.00$ to the manager. Nothing went lost.
$endgroup$
This is indeed an old hat. Each of the three paid $$, 18.00$, makes $$,54.00$ in all. $$,4.00$ went to the waiter and $$,50.00$ to the manager. Nothing went lost.
answered May 12 '14 at 18:16


Christian BlatterChristian Blatter
175k8115327
175k8115327
add a comment |
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f791944%2fthree-friends-problem%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
$begingroup$
In the sleight of hand. More precisely, you're trying to add chicken to geese.
$endgroup$
– TZakrevskiy
May 12 '14 at 17:29
$begingroup$
I know i just want to share interesting questions with everyone.@TZakrevskiy
$endgroup$
– Ravindra Sahay
May 12 '14 at 17:30
1
$begingroup$
How to drive a mathematician crazy. Part deux. IOW: Old hat. Ancient even.
$endgroup$
– Jyrki Lahtonen
May 12 '14 at 17:31
$begingroup$
Well i never read that though cool one. I especially like these one way solution problems.@JyrkiLahtonen
$endgroup$
– Ravindra Sahay
May 12 '14 at 17:33