Michael's bank contains only nickels, dimes, and quarters. There are 67 coins in all, valued at $5.25. The number of nickels is 1 short of being three times the sum of the number of dimes and quarters. How many dimes are in
The bank?
A) 7 dimes
B) 10 dimes
C) 50 dimes
D) 15 dimes

Question

Quizplus · Accepted Answer

Let n, d, and q represent the number of nickels, dimes, and quarters, respectively. We have three equations: n + d + q = 67, 0.05n + 0.10d + 0.25q = 5.25, and n = 3(d + q) - 1. Solving these equations, we find that there are 10 dimes.

Michael's Bank Contains Only Nickels, Dimes, and Quarters