Question

there are some nickels,dimes,and quarters in a large piggy bank. for every 2 nickels there are 3 dimes. for every 2 dimes there are 5 quarters. there are 500 coins totel. how many nickels,dimes,and quarters are in the piggy bank?

Answer 1

Answer:120 dimes, 80 nickels and 300 quarters.

Answer 2

Answer: 120 dimes, 80 nickels, and 300 quarters:

n + d + q = 500

N/2 = D/3

D/2 = Q/5

N = (2/3)d

Q = (5/2)d

(2/3)d + d + (5/2)d = 500

Multiply by 6 both sides:

4d + 6d + 15d = 3000 ===> 25d = 3000 ====> d = 3000/25 = 120

120 dimes, (2/3)120 = 80 nickels and (5/2)120 = 300 quarters.