SOLUTION: a store received two shipments of clothing. the cost of the first shipment which contains 10 sweaters and 20 jackets was $800. the cost of the second shipment, which contains 5 swe
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Question 276623: a store received two shipments of clothing. the cost of the first shipment which contains 10 sweaters and 20 jackets was $800. the cost of the second shipment, which contains 5 sweaters and 15 jackets was $550. find the cost of one sweater and the cost of one jacket. PLEASE HELP. STEP BY STEP IF YOU CAN! Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! a store received two shipments of clothing. the cost of the first shipment which contains 10 sweaters and 20 jackets was $800. the cost of the second shipment, which contains 5 sweaters and 15 jackets was $550. find the cost of one sweater and the cost of one jacket. PLEASE HELP. STEP BY STEP IF YOU CAN!
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Equations:
10s + 20j = 800
5s + 15j = 550
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Multiply thru the 2nd equation by 2 to get:
10s + 30j = 1100
10s + 20j = 800
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Subtract the 2nd from the 1st:
10j = 300
j = $30 (price of one jacket)
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Substitute into 5s + 15j = 550 to solve for "s":
5s + 15(30) = 550
5s + 450 = 550
5s = 100
s = $20 (price of one sweater)
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Cheers,
Stan H.
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