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

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)   (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

and .

The price-account equation is

You have a system of the two linear equations:

Choose whichever method you want, either substitution or elimination.
Answer by MathTherapy(10552)   (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:
You can do the check!!
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Answer by Alan3354(69443)   (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.

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