2017 AMC 8 Problems/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?
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