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Brrunno [24]
4 years ago
10

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.
Mathematics
1 answer:
murzikaleks [220]4 years ago
8 0

Answer: A sweater cost Lonnie $28

A shirt cost

A shirt cost Lonnie $23

Step-by-step 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

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