SOLUTION: A club sold fruitcakes for a fund raising project. The two-pound cakes sold for $5 each and the five-pound cakes sold for $11 each. The club sold 323 pounds of cakes and received $
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-> SOLUTION: A club sold fruitcakes for a fund raising project. The two-pound cakes sold for $5 each and the five-pound cakes sold for $11 each. The club sold 323 pounds of cakes and received $
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Question 347900: A club sold fruitcakes for a fund raising project. The two-pound cakes sold for $5 each and the five-pound cakes sold for $11 each. The club sold 323 pounds of cakes and received $749. How many of each did they sell? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A club sold fruitcakes for a fund raising project. The two-pound cakes sold for $5 each and the five-pound cakes sold for $11 each. The club sold 323 pounds of cakes and received $749. How many of each did they sell?
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Quantity Eq.::: 2t + 5f = 323 lbs
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Value Eq: 5(t) + 11(f) = 749 dollars
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Multiply thru 1st by 5
Multiply thru 2nd by 2
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10t + 25f = 5*323
10t + 22f = 2*749
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Subtract 2nd from 1st and solve for "f":
3f = 117
f = 29 (# of 5-pound cakes)
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Use 2t + 5f = 323 to solve for "t":
2t + 5*29 = 323
2t = 178
t = 89 (# of 2-pound cakes)
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Cheers,
Stan H.
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