Question

7. You buy 5 pairs of jeans and 10 t-shirts for $140.

Your friend buys 3 pairs of Jeans and 5 t-shirts for $79.
Write and solve a system of linear equations to find
the cost of each pair of jeans and t-shirt.

Answer 1

Let x be the cost of each pair of jeans and y be the cost of each t-shirt.

We can write the system of linear equations as follows:

5x + 10y = 140

3x + 5y = 79

Solving for x, we have:

5x + 10y = 140

3x + 5y = 79

Subtracting the two equations, we have:

2x + 5y = 61

Dividing both sides by 2, we have:

x + 2.5y = 30.5

Since x is the cost of each pair of jeans, the cost of each pair of jeans is $30.5.

Solving for y, we have:

5x + 10y = 140

3x + 5y = 79

Subtracting the two equations, we have:

2x + 5y = 61

Dividing both sides by 5, we have:

x + y = 12.2

Since y is the cost of each t-shirt, the cost of each t-shirt is $12.2.

Therefore, the cost of each pair of jeans is $30.5 and the cost of each t-shirt is $12.2.

Explanation: