3
AssignmentMultiple Choice

Solving Mixture Problems

Question 3 • GA-Algebra: Concepts and Connections A

Alexandra has 36 coins valued at $6.00. She has only nickels and quarters. Which equation can be used to solve for the number of nickels, n?

Answer
A
0.05n + 0.25(36 – n) = 6
B
0.05n + 0.25(36 – n) = 36
C
n + 0.05 = 0.05n
D
n + (36 – n) = 36

Explanation

If n coins are nickels, then 36 − n coins are quarters. Nickels are worth $0.05 each and quarters are worth $0.25 each, so their total value is 0.05n + 0.25(36 − n). Set that equal to the total value, $6, giving 0.05n + 0.25(36 − n) = 6. This is choice A.

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