SOLUTION: I am a little confused. Please help: Smith wants to make a 100 quarts of 5% chocolate milk solution mixing a quantity of a 2% chocolate milk solution with a quantity of 7% choco

Question 794667: I am a little confused. Please help:
Smith wants to make a 100 quarts of 5% chocolate milk solution mixing a quantity of a 2% chocolate milk solution with a quantity of 7% chocolate milk solution. What is the quantity of the 7% that he has to use?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = quarts of 7% chocolate milk needed
= quarts of pure chocolate in 7% chocolate milk
Let = quarts of 2% chocolate milk needed
= quarts of pure chocolate in 2% chocolate milk
----------------
given:
(1)
(2)
------------------------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
---------------
60 quarts of 7% chocolate milk are needed
40 quarts of 2% chocolate milk are needed
check answer:
(2)
(2)
You can finish this check

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