Question

At the local clothing store all shirts were on sale for one price and sweaters for a different price. Lonnie purchased three sweaters and two shirts for $130. If the sale price of a shirt was five dollars less than the sale price of a sweater, how much did each item cost Lonnie

Answer 1

Answer: the cost of one shirt is $28

the cost of one sweater is $23

Step-by-step explanation:

Let x represent the cost of one shirt.

Let y represent the cost of one sweater.

Lonnie purchased three sweaters and two shirts for $130. It means that

2x + 3y = 130 - - - - - - - - -1

If the sale price of a shirt was five dollars less than the sale price of a sweater, it means that

x = y - 5

Substituting x = y - 5 into equation 1, it becomes

2(y - 5) + 3y = 130

2y - 10 + 3y = 130

2y + 3y = 130 + 10

5y = 140

y = 140/5

y = 28

x = y - 5 = 28 - 5

x = 23