Question #ba32d

1 Answer
Jan 31, 2017

Answer:

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#