A purse contains S 7.55 in quarters and dimes. There are 12 more quarters than dimes. Find the number of quarters and dimes.
D = Dimes
Quarters =D + 12
0.10D + 0.25[D + 12] =7.55, solve for D
D = 13 dimes
13 + 12 = 25 quarters
[13 x 0.10] + [25 x 0.25] = $7.55