Sue has a sock drawer where she collects nickels, dimes and quarters. The total number of coins in her drawer is 66 with a total value of $8.85. The number of quarters plus the number of dimes is 12 more that the number of nickels. How many coins of each type does she have?
A) 27 nickels, 15 dimes, 24 quarters
B) 24 nickels, 15 dimes, 27 quarters
C) 29 nickels, 11 dimes, 26 quarters
D) 29 nickels, 13 dimes, 24 quarters

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 the following system of equations:n + d + q = 665n + 10d + 25q = 885q + d = 12 + nSolving this system of equations, we get:n = 27d = 15q = 24

Sue Has a Sock Drawer Where She Collects Nickels, Dimes