Posted by **lauren** on Thursday, February 9, 2012 at 1:32pm.

Sarah blends coffee for Tasti-Delight. She needs to prepare 170 lbs of blended coffee beans selling for $3.59 per pound. She plans to do this by blending together a high-quality bean costing $5.00 per pound and a cheaper bean at $2.00 per pound. To the nearest pound, find how much high-quality coffee bean and how much cheaper coffee bean she should blend.

- algebra -
**Henry**, Saturday, February 11, 2012 at 12:21pm
Blend:

X lbs of hi-quality beans.

Y lbs of cheaper beans.

Eq1: X + Y = 170 lbs.

Eq2: 5x + 2y = 3.59*170 = $610.30.

Multiply Eq1 by -2 and add the Eqs:

-2x - 2y = -340

+5x + 2y = 610.3

Sum: 3x = 270.3,

X = 90 lbs.

90 + y = 170,

Y = 170 - 90 = 80 lbs.

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