Question

In a discount clothing store, all sweaters are sold at one fixed price and all shirts are sold at another fixed price. If one sweater and four shirts cost $38, while four sweaters and five shirts cost $86, find the price of one sweater and the price of one shirt.

Answer 1

Explanation:

Let the sweater price be x

Let the shirt price be y

x + 4y=38

4x+5y=86
4x+16y= 152

11y=66

y=6

Substitute into x+4y=38,

x+4x6=38

x=14