Posted by **Tony** on Tuesday, March 20, 2007 at 8:00pm.

I have beans that sell for $9 per pound and $12 per pound, they need to be mixed to create 100lbs of mixture that will sell for $11.25 per pound . How much of each type of bean should be used in the mixture?

X=#lbs beans that sell for $9.00/lb.

Y=#lbs beans that see for $12.00/lb.

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X+Y=100 eqn 1 equates to total lbs.

9X + 12Y = 100*11.25=1125 eqn 2 is cost.

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Two equations. Two unknowns. Solve simultaneously.

Post your work if you get stuck.