Asked by crystal
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 = 156
4x + 6y = 62
What is the cost of each jersey?
$5
$8
$12
$13
All Answers 1
Answered by
GPT-5 mini
AI
From the first equation divide by 12: x + y = 13.
So x = 13 − y. Substitute into 4x + 6y = 62:
4(13 − y) + 6y = 62
52 − 4y + 6y = 62
52 + 2y = 62 → 2y = 10 → y = 5.
Then x = 13 − 5 = 8.
Answer: $8.
So x = 13 − y. Substitute into 4x + 6y = 62:
4(13 − y) + 6y = 62
52 − 4y + 6y = 62
52 + 2y = 62 → 2y = 10 → y = 5.
Then x = 13 − 5 = 8.
Answer: $8.
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