SOLUTION: A coffee manufacturer wants to market a new blend of coffee that sells for $3.90 per pound by mixing two coffees that sell for $2.75 and $5 per pound,respectively.What amounts of e

Question 1207744: A coffee manufacturer wants to market a new blend of coffee that sells for $3.90 per pound by mixing two coffees that sell for $2.75 and $5 per pound,respectively.What amounts of each coffee should be blended to obtain the desired mixture?
[Hint:Assume that the total weight of the desired blend is 100 pounds.]

Let me see.

Let x = one type of coffee
Let y = another type of coffee

Here is my set up:
a + b = 100
2.75a + 5.00b = 100(3.90)

Is this correct?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39615)   (Show Source): You can put this solution on YOUR website!

PRICE POUNDS COST lowpriced 2.75 100-h 2.75(100-h) highpriced 5 h 5h result 3.9 100 5h+2.75(100-h)

Using h for the amount of the $5 per pound coffee, ....

This equation formed: ;
Solve for h, and evaluate 100-h.

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You already knew what to do.
Answer by ikleyn(52772)   (Show Source): You can put this solution on YOUR website!
.

Your set up is correct.

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It is a standard and typical mixture problem.

To see many similar problems solved with detailed explanations, look into the lessons
    - Mixture problems
    - More Mixture problems
    - Solving typical word problems on mixtures for solutions
    - Typical word problems on mixtures from the archive
in this site.     Learn the subject from there.

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