document.write( "Question 224533: Sarah blends coffee for Tasti-Delight. She needs to prepare 130 pounds of blended coffee beans selling for $4.73 a pound.She plans to do this by blending together a high-quality bean costing $5.50 per pound and a cheaper bean at $3.00 per pound. To the nearest pound, find how much high-quality coffee bean she should blend and how much cheaper blend she should blend. \n" ); document.write( "

Algebra.Com's Answer #167726 by Earlsdon(6294) $\"\"$ $\"About$

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Let x = the number of pounds of coffee at $5.50 per pound, then (130-x) = the number of pounds of coffee at $3.00 per pound. The sum of these two amounts will be 130 pounds of the mixture at $4.73 per pound.
\n" ); document.write( "This can be expressed algebraically by:
\n" ); document.write( "(5.50)x+(3.00)(130-x) = (130)(4.73) Simplify and solve for x.
\n" ); document.write( "5.5x+390-3x = 614.9 Combine like-terms.
\n" ); document.write( "2.5x+390 = 614.9 Subtract 390 from both sides.
\n" ); document.write( "2.5x = 224.9 Divide both sides by 2.5
\n" ); document.write( "x = 89.96 lbs or 90 lbs to the nearest pound.
\n" ); document.write( "Sarah will need to blend about 90 pounds of coffee at $5.50 per pound with (130-90 = 40) pounds of coffee at $3.00 per pound to obtain 130 pounds of coffee at $4.73
\n" ); document.write( "per pound. \n" ); document.write( "

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