17
QuizMultiple Choice

Modeling with Systems of Linear Equations — Unit test

Question 17 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

Anatoliy has a combination of 104 nickels and quarters totaling $22. Which system of linear equations can be used to find the number of nickels, n, and the number of quarters, q, Anatoliy has?

Answer
A
n + q = 22 0.05n + 0.25q = 104
B
n + q = 104 5n + 25q = 22
C
n + q = 104 0.05n + 0.25q = 22
D
n + q = 22 5n + 25q = 104

Explanation

The total number of coins is 104, so n + q = 104. A nickel is worth $0.05 and a quarter is worth $0.25, and together they total $22, so 0.05n + 0.25q = 22. These equations match choice C.

AI-written and checked against the verified answer.

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