Solve the problem.
-Michael's bank contains only nickels, dimes, and quarters. There are 47 coins in all, valued at $3.75. The number of nickels is 5 short of being three times the sum of the number of dimes and quarters together. How many
Dimes are in the bank?
A) 8 dimes
B) 13 dimes
C) 34 dimes
D) 5 dimes

Question

Quizplus · Accepted Answer

Let the number of dimes be D, quarters be Q, and nickels be N. We have three equations based on the given information:1. $N + D + Q = 47$ (total coins)2. $0.05N + 0.10D + 0.25Q = 3.75$ (total value)3. $N = 3(D + Q) - 5$ (relation between nickels, dimes, and quarters)Substituting the third equation into the first gives us a system of equations with two unknowns (D and Q), which can be solved alongside the second equation. Solving this system yields $D = 8$, which means there are 8 dimes in the bank.

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