Question #ba32d

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Answer 1 · 2017-01-31T12:38:25

Shirts are $30.00 each.
Jeans are $45.00 each

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=$30$