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?

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

Answer by ptaylor(2198) (Show Source): 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
ck
(1)(.092)+(.02)(.64)=(1.64)(.064)
.092+.013=.105
.105=.105

Hope this helps. Happy holidays.-----ptaylor
RELATED QUESTIONS
A liter of cream has 9.2% butterfat. How much skim milk containing 2% butterfat should... (answered by checkley71,stanbon)

Weighted Averages. A liter of cream has 9.2% butterfat. How much skim milk... (answered by nerdybill)

A liter of cream contains 9.5 percent butterfat. How much skim milk containing 5.5... (answered by ankor@dixie-net.com)

Hello, I have a problem I can't figure out. A litre of cream has 9.2% butterfat. How... (answered by checkley71)

A liter of cream contains 9.5 percent butterfat. How much skim milk containing 5.5... (answered by mananth)

A liter of cream contains 9.5 percent butterfat. How much skim milk containing 5.5... (answered by Theo)

How do you solve this. How much whipping cream and 2%milk should be mixed to obtain... (answered by RAY100)

2. How many pounds of cream containing 12% butterfat must be added to 1800 lbs. of milk... (answered by mananth)

How much 9% butterfat whipping cream and 2% butterfat milk should be mixed to obtain 35... (answered by josgarithmetic)