SOLUTION: Lauren wants to mix 5 liters of 7% milk with skim- milk(0%fat) to produce a mixture of 2 46/47% milk. How much skim-milk should Lauren add?

Question 101790: Lauren wants to mix 5 liters of 7% milk with skim- milk(0%fat) to produce a mixture of 2 46/47% milk. How much skim-milk should Lauren add?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Lauren wants to mix 5 liters of 7% milk with skim- milk(0%fat) to produce a mixture of 2 46/47% milk. How much skim-milk should Lauren add?
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Comment: Follow the fat
Also 2 46/47% = 0.0297
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7% solution DATA:
Amt = 5 liters ; amount of fat = 0.07*5 = 0.35 liters
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skim solution DATA:
Amt = x liters ; amount of fat = 0*x = 0 liters
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Mixture DATA:
Amt = 5+x liters ; amount of fat = 0.0297(5+x)=0.149+0.0297x liters
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EQUATION:
fat + fat = fat
0.35 + 0 = 0.149+0.0297x
0.32x = 0.149
x = 0.465 liters (amount of skim that should be added)
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Cheers,
Stan H.
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