SOLUTION: Chef Ramsey needs 500g of chocolate that is 86% cocoa for a truffle recipe. He has one kind of chocolate that is 99% cocoa and another that is 70% cocoa. How much of each kind of c

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Chef Ramsey needs 500g of chocolate that is 86% cocoa for a truffle recipe. He has one kind of chocolate that is 99% cocoa and another that is 70% cocoa. How much of each kind of c      Log On


   



Question 1200795: Chef Ramsey needs 500g of chocolate that is 86% cocoa for a truffle recipe. He has one kind of chocolate that is 99% cocoa and another that is 70% cocoa. How much of each kind of chocolate does he need for his recipe?
Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
Two Part Mixture Problem

M, how much mixture wanted, 500 grams
T, percentage of needed content wanted, 86%
H, percentage high concentrated available, 99%
L, percent low concentrated available, 70%
y, how much of the high concentration material to use, unknown
M-y, how much of low concentration material to use

highlight_green%28Hy%2BL%28M-y%29=TM%29

Hy%2BLM-Ly=TM
Hy-Ly=TM-LM
%28H-L%29y=M%28T-L%29
highlight%28y=M%28%28T-L%29%2F%28H-L%29%29%29
Substitute your given values, evaluate y, and use it to evaluate M-y.