Dimes and Quarters

Question

Diego saves $5.50 over a week. He has 20 more dimes than quarters. Find how many dimes and quarters he has.

Answer 1

Let number of quarters = q

so, number of dimes = q + 20

0.25q + 0.1(q + 20) = 5.50

or, 25q + 10(q + 20) = 550

Then, solve for q: 35q = 350 or q = 10

Therefore, he has 10 quarters and 30 dimes.