A collection of dimes and quarters has a total value of $3.25. If there are 4 times as many dimes as quarters, how many of each coin is in the collection?
A) 4 dimes and 1 quarters
B) 28 dimes and 7 quarters
C) 20 dimes and 5 quarters
D) 12 dimes and 3 quarters
E) 36 dimes and 9 quarters

Question

Quizplus · Accepted Answer

Let x be the number of quarters in the collection. Then the number of dimes is 4x. The total value can be expressed as 0.25x + 0.10(4x) = 3.25. Simplifying this equation yields x=5, so there are 5 quarters and 4*5=20 dimes in the collection. Therefore, the answer is choice C.

A Collection of Dimes and Quarters Has a Total Value