9
QuizMultiple Choice

Modeling with Systems of Linear Equations

Question 9 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

Lily sold 18 items at the street fair. She sold bracelets for $6 each and necklaces for $5 each for a total of $101. Which system of equations can be used to find b, the number of bracelets she sold, and n, the number of necklaces she sold?

Answer
A
b + n = 101 6b + 5n = 18
B
b + n = 101 5b + 6n = 18
C
b + n = 18 6b + 5n = 101
D
b + n = 18 5b + 6n = 101

Explanation

The total number of items is 18, so the count equation is b + n = 18. Each bracelet earns $6 and each necklace earns $5, so the total money is 6b + 5n = 101. These equations match choice C.

AI-written and checked against the verified answer.

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