Milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup. If the milk contains 2% fat, the cream
contains 18% fat, and the mixture contains 6% fat, how much cream is in the mixture?
1 answer:
So this is a solution problem the answer is 3/4 cups or 75% milk and 1/4 cups or 25% cream, here's why:
m = milk
c = cream
m + c = 1
This is because when you add milk and cream then you get one cup of solution
.02m + .18c = .06
When you add together the percentages the goal is to have .06 or 6%
100m + 100c = 100
2m + 18c = 6
I do this to make it easier to solve
200m + 200c = 200
-200m - 1800c = -600
The "m's" cancel out
-1600c = -400
c = 1/4 or .25 or 25%
Now we add c back in
m + 1/4 = 1
Solve for m
m = 3/4
Thus: 3/4 milk and 1/4 cream
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OMG too difficult man!!
Thanks to my calculator to solve this hard question