Michael's bank contains only nickels, dimes, and quarters. There are 62 coins in all, valued at $\$$ 5.15. The number of nickels is 6 short of being three times the sum of the number of dimes and quarters together. How many dimes are in the bank?
A) 45
B) 8
C) 9
D) 14

Question

Quizplus · Accepted Answer

Let n be the number of nickels, d the number of dimes, and q the number of quarters. We have the equations: n + d + q = 62, 0.05n + 0.10d + 0.25q = 5.15, and n = 3(d + q) - 6. Solving these equations gives d = 9.

Michael's Bank Contains Only Nickels, Dimes, and Quarters $\$$ 515 the Number of Nickels Is 6 Short of Being