Answers GA-Algebra Concepts and Connections CR Solving Systems: Introduction to Linear CombinationsQuestion 10

10

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Solving Systems: Introduction to Linear Combinations

Question 10 • GA-Algebra: Concepts and Connections CR

A soccer team ordered 12 jerseys and 12 pairs of shorts, for a total of $156. Later, they had to order 4 more jerseys and 6 more pairs of shorts, for a total of $62.The system of equations that can be used to find x, the cost of each jersey, and y, the cost of each pair of shorts is shown.12x + 12y=1564x + 6y=62

Answer

A

$5

B

$8

C

$12

D

$13

Explanation

Divide 12x + 12y = 156 by 12 to get x + y = 13, so x = 13 − y. Substitute into 4x + 6y = 62: 4(13 − y) + 6y = 62, which gives y = 5 and x = 8. Each jersey costs $8, choice B.

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