Question

Zoey has nickels and quarters only. She has $2.00 and 16 coins. How many nickels and quarters

does Zoey have?

Answer 1

Zoey has 10 nickels and 6 quarters.

Explanation:

0.05n + 0.25q = 2

n + q = 16

n = 16 - q

0.05(16 - q) + 0.25q = 2

0.8 - 0.05q + 0.25q = 2

0.8 + 0.2q = 2

0.2q = 1.2

q = 6

n = 16 - 6

n = 10

Check:

10 + 6 = 16 total coins

10(0.05) = 0.5 --> $0.50

6(0.25) = 1.5 --> $1.50

$0.50 + $1.50 = $2.00