Question

Jamie found a bag containing 56 coins. There were 4 times as many quarters as half dollars. There were 3 times as many dimes as half dollars. How many fewer half dollars were there than quarters?

Answer 1

Let the number of half-dollars = H
Number of quarters =4H
Number of dimes = 3H

So

H + 4H + 3H = 56
8H = 56
H = 56/8 = 7

Number of quarters = 4(7) = 28

28 - 7 = 21 fewer half-dollars than quarters