AnswersAlgebra 2 with ProbabilityPractice TestQuestion 3
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Question 3 • Algebra 2 with Probability

A sports apparel supplier offers teams the option of purchasing extra apparel for players. A volleyball team purchases 15 jackets and 12 pairs of sweatpants for 348 dollars A basketball team purchases 8 jackets and 8 pairs of sweatpants for 200 dollars Let x represent the price of a jacket and let y represent the price of a pair of sweatpants. Which system of equations can be used to find the price of each item?

Answer
A
8 x plus 8 y is equal to 348; 12 x plus 15 y is equal to 200
B
8 x plus 8 y is equal to 200; 12 x plus 15 y is equal to 348
C
8 x plus 8 y is equal to 200; 15 x plus 12 y is equal to 348
D
8 x plus 8 y is equal to 348; 15 x plus 12 y is equal to 200

Explanation

For the volleyball team, 15 jackets at x dollars each and 12 pairs of sweatpants at y dollars each cost 348 dollars, so 15x + 12y = 348. For the basketball team, 8 of each item cost 200 dollars, so 8x + 8y = 200. These equations match choice C.

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