# algebra

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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 -

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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