3
QuizMultiple Choice

Modeling with Systems of Linear Equations

Question 3 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

Yolanda paid for her movie ticket using 28 coins, all nickels and quarters. The ticket cost $4. Which system of linear equations can be used to find the number of nickels, n, and the number of quarters, q, Yolanda used?

Answer
A
n + q = 28 0.05n + 0.25q = 4
B
n + q = 4 5n + 25q = 28
C
n + q = 28 5n + 25q = 4
D
n + q = 4 0.05n + 0.25q = 28

Explanation

The total number of coins is 28, so n + q = 28. Each nickel is worth $0.05 and each quarter is worth $0.25, and together they cost $4, so 0.05n + 0.25q = 4. These equations match choice A.

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