Basic College Equation Word Problem

Question

This one question is proving difficult for me. I get 2x + 10 = 135, but I know that cant be right.

 

Muriel bought three items on sale (shoes, jeans, and shirt) and the total came to $135. If the jeans cost twice as much as the shirt, and the shoes cost $10 more than the jeans, how much did each item cost?

Answer 1

Let j = cost of jeans

Let s = cost of shirt

Let z = cost of Los zapatos... (shoes... lol)

 

Total cost is $135

j + s + z = 135      {equation 1}

 

jeans cost twice as much as shirt:

j = 2s     {equation 2}

 

shoes cost $10 more than jeans:

z = j + 10 

z = 2s + 10   {equation 3}  since j = 2s

 

Substituting equation 2 and 3 back into equation 1:

 

2s + s + 2s + 10 = 135

5s + 10 = 135

5s = 125

s = 25

 

The shirt is $25

 

Use equation 2 and 3 to find cost of jeans and shoes