2017 AMC 8 Problems/Problem 17
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
See Also
2017 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 16 |
Followed by Problem 18 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.