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.What is the cost of each jersey?

Answer 1

$8 on E 2020

Explanation:

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

Answer 2

The cost of each jersey is $ 8.

Explanation:

Here, x represents the cost of each jersey, and y represents the cost of each pair of shorts,

Since, the cost of 12 jerseys and 12 pairs of shorts is $156,

⇒ 12 x + 12 y = 156

⇒ 12 ( x + y ) = 156

⇒ x + y = 13 -------(1),

Also, the cost of 4 jerseys and 6 pairs of shorts is $62,

⇒ 4 x + 6 y = 62

⇒ 2 ( 2x + 3y ) = 62

⇒ 2x + 3y = 31 ------(2),

Equation (2) - 3 × Equation (1),

We get,

2x + 3y - ( 3x + 3 y ) = 31 - 39

- x = - 8 ⇒ x = 8,

Hence, the cost of each jersey = x = $ 8