Question

a purse contains $2.95 in quarters and dimes. there are 9 more quarters than dimes. find the number of quarters and dimes.

Answer 1

0.25q + 0.10d = 2.95
q = d + 9

0.25(d + 9) + 0.10d = 2.95
0.25d + 2.25 + 0.10d = 2.95
0.25d + 0.10d = 2.95 - 2.25
0.35d = 0.70
d = 0.70/0.35
d = 2 <=== 2 dimes

q = d + 9
q = 2 + 9
q = 11 <=== 11 quarters

Answer 2

there are 11 quarters and 2 dimes in the purse