SOLUTION: The price of a sweater is 5 dollars less than twice the price of a shirt. If four shirts and three sweaters cost 275 dollars, find the price of each shirt and sweater.

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Question 370469: The price of a sweater is 5 dollars less than twice the price of a shirt. If four shirts and three sweaters cost 275 dollars, find the price of each shirt and sweater.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The price of a sweater is 5 dollars less than twice the price of a shirt. If four shirts and three sweaters cost 275 dollars, find the price of each shirt and sweater.
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Equations:
Value: sw = 2s-5
Quantity: 4s + 3sw = 275 dollars
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Substitute for sw and solve for "s":
4s + 3(2s-5) = 275
10s -15 = 275
10s = 290
s = $29 (price of one shirt)
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Substitue for s and solve for sw:
sw = 2(29)-5
sw = $53 (price of one sweater)
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Cheers,
Stan H.
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