# Difference between revisions of "2017 AMC 8 Problems/Problem 17"

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<math>\textbf{(A) }9\qquad\textbf{(B) }27\qquad\textbf{(C) }45\qquad\textbf{(D) }63\qquad\textbf{(E) }81</math> | <math>\textbf{(A) }9\qquad\textbf{(B) }27\qquad\textbf{(C) }45\qquad\textbf{(D) }63\qquad\textbf{(E) }81</math> | ||

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==Solution== | ==Solution== |

## Revision as of 14:38, 22 November 2017

## Problem 17

Starting with some gold coins and some empty treasure chests, I tried to put gold coins in each treasure chest, but that left treasure chests empty. So instead I put gold coins in each treasure chest, but then I had gold coins left over. How many gold coins did I have?

## Solution

We can represent the amount of gold with and the amount of chests with . We can use the problem to make the following equations:

Therefore, This implies that We therefore have So, our answer is