Homework Help: math

Posted by Olga on Thursday, February 17, 2011 at 10:57pm.

lyle needs 200g of chocolate that is 86% cocoa for a cake recipe he has one kind that is 99% cocoa and another kind that is 70% cocoa. How much of each kind does he need to make the cake

math - Helper, Thursday, February 17, 2011 at 11:42pm
g = grams of 99% cocoa
0.99g = value of 99% cocoa
200 - g = grams of 70% cocoa
0.70(200 - g) = value of 70% cocoa
0.86(200) = value of mixture

0.99g + 0.70(200 - g) = 0.86(200)

Solve for g, grams of 99% cocoa
200 - g = grams of 70% cocoa

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