I HAVE $11.60, all dimes and quarters, in my pocket. I have 32 more dimes than quarters. how many di

I HAVE $11.60, all dimes and quarters, in my pocket. I have 32 more dimes than quarters. how many dimes, and how many quarters do i have?

Let d = dimes and q = quarters.

We have two equations:

1. 0.10d + 0.25q = 11.60
2. d - q = 32

Set up a system of equations to solve for d and q.
dimes (d) = 56 and quarters (q) = 24

Check our work:
56 - 24 = 32
0.10(56) + 0.25(24) = $5.60 + $6.00 = $11.60