Question

Question #ba32d

Answer 1

Shirts are $30.00 each.
Jeans are $45.00 each

Explanation:

Let the cost of 1 pair of jeans be `j`
Let the cost of 1 shirt be `s`

Then we have:

`2j+color(white)(3)s=$120" "...................Equation(1)`
`color(white)(2)j+3s=$135" ".....................Equation(2)`

Multiply `Equation(1)` by 3

`6j+3s=$360" "...................Equation(1_a)`
`color(white)(2)j+3s=$135" ".....................Equation(2)`

`Equation(1_a)-Equation(2) gives:`

`5j+0=$225`

Divide both sides by 5

`j=($225)/5 = $45.00`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Substitute `j=45" into "Equation(2)` giving:

`45+3s=$135" "......................Equation(2_a)`

Subtract 45 from both sides

`3s=$90`

Divide both sides by 3

`s=$30`