Answer:
The cost of each jersey is $ 8.
Step-by-step 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
