Problema 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% chocolate or 10% chocolate. How much of each type should be mixed to get a 20 pound mixture that is 25% chocolate?

Answer provided by our tutors

chocolate + chocolate = chocolate

0.50x + 0.10(20-x) = 0.25(20)

Multiply  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)