SOLUTION: 2) Kevin made 12 gallons of milk containing 45% cream and 55% skim milk. Christopher took out cream from the mix to make a new mixture that has 34% cream and 66% skim milk. how muc

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: 2) Kevin made 12 gallons of milk containing 45% cream and 55% skim milk. Christopher took out cream from the mix to make a new mixture that has 34% cream and 66% skim milk. how muc      Log On

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Question 765011: 2) Kevin made 12 gallons of milk containing 45% cream and 55% skim milk. Christopher took out cream from the mix to make a new mixture that has 34% cream and 66% skim milk. how much cream did he take out?
4) Sarah wants to make 60% citric acid . If she has 1/2 liters of 0% citric acid, how many liters of 70% citric acid should she add?
12) the kayla's and cody's icew cream store sells ice cream shakes made from ice cream and milk. The milk used has 2% fat and the ice cream has 30% fat. Anna is in charge of making shakes. Today's mix had a total of 23% fat. If Anna used 3 quarts of milk, how many quarts does the entire mixture contain?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Understand the milk and cream mixture to be a cream solution, and the 12 gallons of milk is simply 45% cream initially. Ignore the skim milk part.

%2812%2A0.45-c%29%2F%2812-c%29=0.34 if done just in decimal fractions for the percents
or
highlight%28%2812%2A45-c%2A100%29%2F%2812-c%29=34%29 if done with the percents.

Solve for c.

12%2A45-c%2A100=34%2812-c%29
12%2A45-c%2A100=34%2A12-34c
12%2A45-34%2A12=100c-34c
.
c=%2812%2A33%29%2F64
highlight%28c=99%2F16=6%263%2F16%29 gallons of cream to remove.