SOLUTION: Matthew makes 20 oz of chocolate milk that is 6% chocolate syrup. Jose make 12 oz of chocolate milk that is 16% syrup. They want to combine their milk and syrup to create a 16 oz o

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Matthew makes 20 oz of chocolate milk that is 6% chocolate syrup. Jose make 12 oz of chocolate milk that is 16% syrup. They want to combine their milk and syrup to create a 16 oz o      Log On

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Question 963169: Matthew makes 20 oz of chocolate milk that is 6% chocolate syrup. Jose make 12 oz of chocolate milk that is 16% syrup. They want to combine their milk and syrup to create a 16 oz of chocolate milk that is 10 % syrup.
How much does Jose need to contribute?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Matthew and Jose together may have enough chocolate milk to the 16 oz of chocolate milk.

w, the amount of Matthew's 6% syrup chocolate milk;
16-w, the amount from Jose's 16%.

%286%2Aw%2B16%2816-w%29%29%2F16=10

6w%2B16%2816-w%29=160

6w%2B16%5E2-16w=160

-10w%2B16%5E2=160

-10w=160-16%5E2

w=%2816%5E2-160%29%2F10

highlight%28w=9.6%2Aoz%29, highlight%2816-w=6.4%2Aoz%29