anonymous
  • anonymous
A dairy farmer wants to make an 8% butterfat mixture. How many pounds of milk containing 3% butterfat must she add to 100 pound of cream containing 20% butterfat? Please help!
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
x is the # of pounds of milk (.03x + .2*100)/(100+x)=.08
anonymous
  • anonymous
Why is it divided by (100+x)?
anonymous
  • anonymous
odd way of looking at it but i guess it works

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anonymous
  • anonymous
the 100 pounds of cream containing 20% butterfat has 20 pounds of butterfat. if i you add x pounds of 3% butterfat milk it will then contain \[20+.03x\] butterfat. you will have \[100+x\] pounds of milk which you want to be 8% butterfat, so set \[20+.03x=.08(100+x)\] and solve for x

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