# Missing Dollar?!

Hey Brilliant users,

I have recalled a problem I have heard about when I was in 6th grade. The problem goes like this:

3 men rent a room for a hotel. The hotel worker charges them $30.00, and the 3 men split the price equally- each man pays$10.00. Of course, the hotel worker was inexperienced, and the price was actually $25.00. So, the hotel manager tell the worker to give them back the 5 dollars he owed. The worker obviously was mad that he couldn’t get 5 extra dollars. So, he decided to keep 2 dollars, and give the 3 men 3 dollars back. So now, each man has paid$9.00 for the hotel. 9*3=27 dollars, and the worker has 2 dollars. So where did the one dollar go?!

What happened?

Note by Jonathan Hsu
3 years, 1 month ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

Sort by:

It is a nice play with words.The sum wont be equal to 30 after redistribution as $10+10+10= 25+3+2$ Now, the hotel kept 25 ,3 were given back and waiter kept 2.

$10-1+ 10-1+10-1=25+2$ Now note that effectively the men have paid $27. Which is consistent with$25 to hotel & $2 to the waiter. I hope its convincing enough - 3 years, 1 month ago Log in to reply Sorry Jonathan, but how come only Lexingtonians solve your problems? I am kinda skeptical... - 3 years, 1 month ago Log in to reply I am sorry Jack, my friends on brilliant are always being mean and cheating on my problems. They don't even know how to solved them, I am sorry about that. All of my level 4 and above problems are like this. - 3 years, 1 month ago Log in to reply Each man has PAID$9. But at the end, they only have $3.$3 + $25 +$2 = \$30.

- 3 years, 1 month ago