SOLUTION: a merchant has coffee worth $20 a pound that she wishes to mix with 60 pounds of $90 a pound to get a mixture that can be sold for $60 a pound. How many pounds of the $20 coffee s

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Question 888672: a merchant has coffee worth $20 a pound that she wishes to mix with 60 pounds of $90 a pound to get a mixture that can be sold for $60 a pound. How many pounds of the $20 coffee should be used?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Money%2FPoundsMix=Price

Let x = how many pounds of the $20/pound coffee.

highlight_green%28%2820x%2B90%2A60%29%2F%28x%2B60%29=60%29

Some simplification,
%282x%2B9%2A6%2A10%29%2F%28x%2B60%29=6
%28x%2B9%2A3%2A10%29%2F%28x%2B60%29=3
x%2B270=3%28x%2B60%29
x%2B270=3x%2B180
270-180=2x
2x=90
highlight%28x=45%29