SOLUTION: How many pounds of cream containing 25% butter fat should be added to 100 pounds of milk containing 1.5% butter fat to produce milk containing 3% butter fat?

Question 1203497: How many pounds of cream containing 25% butter fat should be added to 100 pounds of milk containing 1.5% butter fat to produce milk containing 3% butter fat?
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

Answer: 6.81818 pounds approximately

Work Shown
x = amount of cream (in pounds)
0.25x = amount of pure butter fat from the cream
0.015*100 = 1.5 = amount of pure butter fat from the milk

0.25x+1.5 = total amount of pure butter fat

x+100 = total amount of cream & milk
The goal is to have 3% butter fat, so we want 0.03*(x+100) pounds of pure butter fat.

0.25x+1.5 = 0.03*(x+100)
0.25x+1.5 = 0.03x+3
0.25x-0.03x = 3-1.5
0.22x = 1.5
x = 1.5/0.22
x = 150/22
x = 75/11
x = 6.81818 pounds approximately
The "81" repeats forever in the decimal expansion.

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