Solve.
-Nancy has $5.30 in change. She has three times as many nickels as quarters. She has two more quarters than dimes. How many coins of each type does he have?
A)33 quarters, 31 dimes, 11 nickels
B)11 quarters, 9 dimes, 33 nickels
C)13 quarters, 11 dimes, 39 nickels
D)11 quarters, 13 dimes, 33 nickels

Question

Quizplus · Accepted Answer

Nancy has $5.30 in change. Let the number of quarters be q, dimes be d, and nickels be n. We have three equations based on the information:1. $0.25q + 0.10d + 0.05n = 5.30$2. $n = 3q$3. $q = d + 2$Substituting the values from equations 2 and 3 into equation 1 and solving gives us q = 11, d = 9, and n = 33. Therefore, Nancy has 11 quarters, 9 dimes, and 33 nickels.

Solve. -Nancy Has $5.30 in Change. She Has Three Times as as Many