If Ben has 10 quarters and nickels in his pocket, and they have a combined value of 170 cents, how many of each coin does he have?

Question

If Ben has 10 quarters and nickels in his pocket, and they have a combined value of 170 cents, how many of each coin does he have?

Answer 1

N +Q = 10

5N + 25Q = 170

5N + 5Q = 50

subtract to get

20Q = 120

Q = 120/20 = 6 quarters.

N=10-6 = 4 nickels

4(5) + 6(25) = 20+150 = 170