Question

Gaby's piggy bank contains quarters and nickels worth $7.50. If she has 58 coins in all, howmany of each does she have?

Answer 1

let the number of quarters = x , and the number of nickels = y

quarter = $0.25 and nickel = $0.05

So, x + y = 58

x = 58 - y

and 0.25 x + 0.05 y = 7.5

so,

0.25 (58 - y) + 0.05 = 7.5

14.5 - 0.25 y + 0.05 y = 7.5

-0.2 y = -7

y = -7/-0.2 = 35

x = 58 - 35 = 23

So, the number of quarters = 23 and the number of nickels = 35