Problem:
If the value of quarters and dimes equals the value of quarters and dimes, then
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The value of quarters and dimes is . Since the value of quarters is , the remaining must consist of dimes.
We can think of the quarters as being "traded in" for dimes. The value of quarters, , is 25 dimes. Combining them with the original dimes gives a total of dimes.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions