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!

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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
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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x is the # of pounds of milk (.03x + .2*100)/(100+x)=.08
Why is it divided by (100+x)?
odd way of looking at it but i guess it works

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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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