Question

Steve puts only dimes and quarters into his piggy bank. Right now he has five more dimes than quarters there, and they make exactly $74! How many quarters and how many dimes are there in Steve’s piggy bank?

Answer 1

215 dimes and 210 quarters

Explanation:

Quarters are x

dimes are x+5

.25x+.10(x+5)=74

.25x+.10x+.5=74

.35x=73.5

x=210 quarters or $52.50

x+5=215 dimes or $21.50

Add to $74.

Answer 2

x - quarters, x+5 - dimes.
$74=7400 cents
Then
(25x+10(x+5))=(25x+10x+50)=(35x+50) cents.

35x+50=7400
35x=7400-50
35x=7350
x=7350/35
x=210 quarters

x+5=210+5=215 dimes

210 quarters and 215 dimes