SOLUTION: a coffee manufacturer wants to market 100 pounds of a new blend of colffee that costs $3.90 per pound by mixing two coffees that sell for $2.50 and $5.00 per pound respectively. Wh

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Question 374879: a coffee manufacturer wants to market 100 pounds of a new blend of colffee that costs $3.90 per pound by mixing two coffees that sell for $2.50 and $5.00 per pound respectively. What amounts of each coffee should be blended to obtain the desired mixture?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount of $2.50/lb coffee, B the amount of $5.00/lb coffee.
1.A%2BB=100
.
.
.
250A%2B500B=390%28100%29
2.A%2B2B=156
Subtract eq. 1 from eq. 2,
A%2B2B-A-B=156-100
highlight%28B=56%29lbs
Then from eq. 1,
A%2B56=100
highlight%28a=44%29lbs