SOLUTION: A liter of cream has 9.2% butterfat. How much skim milk containing 2% butterfat should be added to the cream to obtain a mixture with 6.4% butterfat?
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Question 64732This question is from textbook Algebra 1
: A liter of cream has 9.2% butterfat. How much skim milk containing 2% butterfat should be added to the cream to obtain a mixture with 6.4% butterfat? This question is from textbook Algebra 1
You can put this solution on YOUR website! Let x= amount of skim milk to be added
We know that the amount of butterfat in the original liter (1)(.092) plus the amount of butterfat in the skim milk that was added (x)(.02) has to equal the amount of butterfat in the final mixture (1+x)(.064). So our equation to solve is:
(1)(.092)+.02x=(1+x)(.064) simplifying, we get:
.092+.02x=.064+.064x collecting like terms we have:
.02x-.064x=.064-.092 or
-.044x=-.028 and
x=0.64 liters
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(1)(.092)+(.02)(.64)=(1.64)(.064)
.092+.013=.105
.105=.105
