Question

A bank contains 35 coins, all nickels and quarters. The total value of coins is $8.15. How many of each coin does the bank contain?

Answer 1

n + q = 35

n = 35-q

0.05n + 0.25q = 8.15

0.05(35-q) +0.25q = 8.15

1.75 -0.05q + 0.25q =8.15

1.75 + 0.20q = 8.15

0.20q = 6.40

q = 6.40 / 0.20 = 32

32 quarters and 3 nickels