a purse contains $7.45 in quarters and dimes 13 more quarters than dimes how many quarters and how many dimes are there

Answer 1

10D+25Q=7 45
but Q-13=D
or 10(Q-13)+25Q=7 45
or 35Q=745+130=775
Q=25

Answer 2

number of dimes ---- x
number of quarters ---- x+13

10x + 25(x+13) = 745

solve for x

Answer 3

12 dimes and 25 quarters