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
Answer:
Step-by-step 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
$12
$13
