SOLUTION: How many grams of coffee, which costs $9/gram, should be mixed with 16 grams of coffee, which costs $5/gram, to make a mixture which costs $7/gram

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Question 893161: How many grams of coffee, which costs $9/gram, should be mixed with 16 grams of coffee, which costs $5/gram, to make a mixture which costs $7/gram
Found 3 solutions by josgarithmetic, MathTherapy, Alan3354:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You should study the already-published lesson on this, but ...

u = grams of the cheap coffee
v = grams of the expensive coffee

highlight_green%28%285u%2B9v%29%2F16=7%29 and highlight_green%28u%2Bv=16%29.

The price-account equation is 5u%2B9v=7%2A16
5u%2B9v=112

You have a system of the two linear equations:
highlight_green%28system%285u%2B9v=112%2Cu%2Bv=16%29%29
Choose whichever method you want, either substitution or elimination.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

How many grams of coffee, which costs $9/gram, should be mixed with 16 grams of coffee, which costs $5/gram, to make a mixture which costs $7/gram


Grams of $9/gram coffee to mix: highlight_green%28highlight_green%2816%29%29

You can do the check!! 



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Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
7 is the average of 9 & 5, so it's equal amounts.
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That's a lot of money for coffee. Over $4000 per pound.