SOLUTION: James made two glasses of chocolate milk. Glass A had 5% chocolate and Glass B had 10% chocolate. How many ounces of each do you need for a 50 ounce glass of 8% chocolate?

Question 1096627: James made two glasses of chocolate milk. Glass A had 5% chocolate and Glass B had 10% chocolate. How many ounces of each do you need for a 50 ounce glass of 8% chocolate?

Found 2 solutions by josmiceli, greenestamps:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = ounces of 5% chocolate milk needed
Let = ounces of 10% chocolate milk needed
----------------------------------------------
(1)
(2)
---------------------------------
(2)
(2)
(2)
Subtract (1) from (2)
(2)
(1)
-----------------------

and
(1)
(1)
---------------------
4 ounces of 5% chocolate milk are needed
6 ounces of 10% chocolate milk are needed
-----------------------------------------
check:
(2)
(2)
(2)
(2)
OK
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

The algebraic solution shown by tutor josmiceli is fine. But here is a much fast method for finding the answer.

Compare the percentages of the two ingredients (5% and 10%) to the percentage of the mixture (8%):

;

Those two differences , 2 and 3, mean the two ingredients must be mixed in the ratio 2:3. So to get 50 ounces of mixture, you need 20 ounces of one and 30 ounces of the other.

And since 8% is closer to 10% than it is to 5%, you need more of the 10% ingredient.

So 30 ounces of the 10% chocolate and 20 ounces of the 5% chocolate.
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