SOLUTION: how many pounds of coffee worth 9 dollars a pound should be added to 30 pounds of coffee worth 3 dollars a pound to get a mixture worth 5 dollars a pound?

Question 465836: how many pounds of coffee worth 9 dollars a pound should be added to 30 pounds of coffee worth 3 dollars a pound to get a mixture worth 5 dollars a pound?
Answer by kingme18(98) (Show Source): You can put this solution on YOUR website!
x=number of pounds of $9 coffee

I'm going to multiply each "price per pound" by "number of pounds". Note that our final mixture will have 30+x pounds, since we're adding x pounds in.

$9/pound * x pounds + $3/pound * 30 pounds = $5/pound * (30 + x) pounds

Simplify a bit: . Subtract 5x on both sides to bring all the x's together: . Subtract 90 from both sides to get all the numbers together: . Divide by 4 on both sides to finish getting x by itself: . Thus, you need to add 15 pounds of $9 coffee.
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