Answer: A sweater cost Lonnie $28
A shirt cost
A shirt cost Lonnie $23
Explanation:
Let x represent the cost of one sweater.
Let y represent the cost of one shirt.
Lonnie purchased three sweaters and two shirts for $130. This means that 3x + 2y = 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
3(y + 5) + 2y = 130
3y + 15 + 2y = 130
5y = 130 - 15
5y = 115
y = 115/5 = 23
x = y + 5 = 23 + 5
x = 28