Question

a parking meter has 32 coins in nickels and quarters. the coins are worth $3.20. how many quarters and how many nickels are in the meter?

Answer 1

n = 24

q = 8

Explanation:

Let:

n = nickels

q = quarters

5n + 25q = 320

n + q = 32

n = 32 - q

Substitute (to solve for q):

5(32 - q) + 25q = 320

160 - 5q + 25q = 320

160 + 20q = 320

20q = 320 - 160

20q = 160

q = 160 ÷ 20

q = 8

Substitute (to solve for n):

n = 32 - q

n = 32 - (8)

n = 24