SOLUTION: Cati's Catering is planning an office reception. The office administrator has requested a candy mixture that is 25% chocolate. Cati has available mixtures that are either 50% choco

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Question 270715: Cati's Catering is planning an office reception. The office administrator has requested a candy mixture that is 25% chocolate. Cati has available mixtures that are either 50% chocolate or 10% chocolate. How much of each type should be mixed to get a 20-lb mixture that is 25% chocolate?
Answer by stanbon(75887) About Me  (Show Source):
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Cati's Catering is planning an office reception. The office administrator has requested a candy mixture that is 25% chocolate. Cati has available mixtures that are either 50% chocolate or 10% chocolate. How much of each type should be mixed to get a 20-lb mixture that is 25% chocolate?
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Equation:
chocolate + chocolate = chocolate
0.50x + 0.10(20-x) = 0.25(20)
Multiply thru by 100 to get:
50x + 10*20 - 10x = 25*20
40x = 5*20
x = 2.5 lb (amt of 50% chocolate needed in the mixture)
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20-2.5 = 17.5 lb (amt of 10% chocolate needed in the mixture)
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Cheers,
Stan H.