SOLUTION: #5 EllEN WISHES TO MIX CANDY WORTH $1.85 PER POUND WITH CANDY WORTH $3.33 PER POUND TO FORM 29 POUNDS OF A MIXTURE WORTH $2.62 PER POUND. HOW MANY POUNDS OF THE MORE EXPENSIVE CAND

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Question 234236: #5 EllEN WISHES TO MIX CANDY WORTH $1.85 PER POUND WITH CANDY WORTH $3.33 PER POUND TO FORM 29 POUNDS OF A MIXTURE WORTH $2.62 PER POUND. HOW MANY POUNDS OF THE MORE EXPENSIVE CANDY SHOULD SHE USE?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
EllEN WISHES TO MIX CANDY WORTH $1.85 PER POUND WITH CANDY WORTH $3.33 PER POUND TO FORM 29 POUNDS OF A MIXTURE WORTH $2.62 PER POUND. HOW MANY POUNDS OF THE MORE EXPENSIVE CANDY SHOULD SHE USE?
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Equation:
value + value = value
1.85x + 3.33(29-x) = 2.62*29
Multiply thru by 100 to get:
185x + 333*29 - 333x = 262*29
-148x = -71*29
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x = 13.91 lb (amount of $1.85 candy needed in the mix)
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29-x = 29-13.91 = 15.09 lb (amount of $3.33 candy needed in the mix)
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Cheers,
Stan H.