Question

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

Explanation:

Step1: Simplify first equation

Divide $12x + 12y = 156$ by 12:
$$x + y = 13$$
Rearrange to get $y = 13 - x$.

Step2: Substitute into second equation

Replace $y$ in $4x + 6y = 62$:
$$4x + 6(13 - x) = 62$$

Step3: Expand and solve for x

Expand and simplify the equation:
$$4x + 78 - 6x = 62$$
$$-2x = 62 - 78$$
$$-2x = -16$$
$$x = \frac{-16}{-2} = 8$$

Answer:

$8 (Option B)$