Question

Billy has $16.30 in dimes and quarters. If he has a total of 88 coins, how many of each type of coin does he have?

Answer 1

38 dimes, 50 quarters

Explanation:

Let d = dimes

Let q = quarters

d + q = 88

d = 88 - q

0.10d + 0.25q = 16.30

0.10d + 0.25q = 16.30

0.10(88 - q) + 0.25q = 16.30

8.8 - 0.10q + 0.25q = 16.30

8.8 + 0.15q = 16.30

0.15q = 7.5

q = 50

d = 88 - q

d = 88 - 50

d = 38