Question

At one store,5 pairs of jeans and 2 sweatshirts cost $208,while 3 pairs of jeans and 4 sweatshirts cost $178.Find the cost of one sweatshirt.

Answer 1

$19

Explanation:

the following equations can be determined from the question

5j + 2s = 208 equation 1

3j + 4s = 178 equation 2

where j = jeans

s = sweatshirts

simultaneous equation would be used to determine the values

Multiply equation 1 by 2

10j + 4s = 416 equation 3

subtract equation 2 from 3

7j = 238

j= $34

substitute for j in equation 1

5(34) + 2s = 208

2s = 38

s = $19