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
