Solve the problem.
-Michaelʹs bank contains only nickels, dimes, and quarters. There are 65 coins in all, valued at $5.30. The number of nickels is 3 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) 9 dimes
C) 48 dimes
D) 14 dimes

Question

Quizplus · Accepted Answer

Let n be the number of nickels, d be the number of dimes, and q be the number of quarters. We have three equations: n + d + q = 65, 0.05n + 0.10d + 0.25q = 5.30, and n = 3(d + q) - 3. Solving these equations, we find that d = 9.

Solve the Problem. -Michaelʹs Bank Contains Only Nickels, Dimes, and Quarters. There Are