Solve the problem.
-Michael's bank contains only nickels, dimes, and quarters. There are 51 coins in all, valued at \$4.15. The number of nickels is 5 short of being three times the sum of the number of dimes and quarters. How many dimes are in the bank?
A) 8 dimes
B) 37 dimes
C) 13 dimes
D) 6 dimes

Question

Quizplus · Accepted Answer

The total number of coins is 51, and their total value is $4.15. Let the number of nickels be N, dimes be D, and quarters be Q. We have three equations: N + D + Q = 51 (total coins), 0.05N + 0.10D + 0.25Q = 4.15 (total value), and N = 3(D + Q) - 5 (relationship between the coins). Solving these equations, we find that there are 8 dimes in the bank.

Solve the Problem. -Michael's Bank Contains Only Nickels, Dimes, and Quarters. There Are