A collection of dimes and quarters has a total value of $4.95. If there are 3 times as many dimes as quarters, how many of each coin is in the collection?
A)27 dimes and 9 quarters
B)30 dimes and 10 quarters
C)18 dimes and 6 quarters
D)36 dimes and 12 quarters
E)24 dimes and 8 quarters

Question

Quizplus · Accepted Answer

Let the number of quarters be $q$ and the number of dimes be $3q$. The value equation is $0.25q + 0.10(3q) = 4.95$. Solving gives $q = 9$, so there are 27 dimes and 9 quarters.

A Collection of Dimes and Quarters Has a Total Value