Question

Gabe has 60 coins consisting of quarters and dimes. The combined value of the coins is $9.45. Find how many quarters and dimes Gabe has.

Answer 1

We could say that dimes = x and quarters = 60 -x

Then we use the value of the coins 

10(x) + 25(60-x) = 945

I did 945 because I am doing this in cents not dollars but the answer would still work because it is asking for the amount of coins.

10x + 1500 - 25x = 945

-15x = -555

x = 37 

Dimes = x = 37
Quarters = 60 - x = 60 -37 = 23