document.write( "Question 26222: Hi!
\n" ); document.write( "I would like to know if you can help me with the following problem.\r
\n" ); document.write( "\n" ); document.write( "Three kinds of coffee are to be mixed to get a blend. One kind costs $0.40 per pound, the second $0.80 per pound and the third $1.00 per pound. 110 pounds of the mix is wanted and it should cost $0.60 per pound. The amount of coffee costing $0.80 per pound should be 2/3 of the amount at $0.40 per pound. How much of each kind of coffee should be used?
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Algebra.Com's Answer #14092 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Let amount of 40 cent coffee be \"x\"
\n" ); document.write( "The amount of 80 cent coffee is (2/3)x
\n" ); document.write( "And amount of 100 cent coffee is (110-x-(2/3)x)=(110-(5/3)x)
\n" ); document.write( "Value of 40 cent coffee is 40x
\n" ); document.write( "Value of 80 cent coffee is 80(2/3)x
\n" ); document.write( "Value of 100cent coffee is 100(110-(5/3)x)
\n" ); document.write( "EQUATION:
\n" ); document.write( "Value of 40 + Value of 80 + Value of 100=60(110)cents
\n" ); document.write( " 40x+80(2/3)x+100(110-(5/3)x)=60(110) cents
\n" ); document.write( " 2x+4(2/3)x+5(110x)-(5/3))x=3(110) cents
\n" ); document.write( " 6x+8x+1650-25x=990
\n" ); document.write( " -11x=-660
\n" ); document.write( " x=60 lbs. of 40cent coffee
\n" ); document.write( " (2/3)x=40 lb. of 80cent coffee
\n" ); document.write( " 110-(5/3)x=110-(5/3)(60)=10 lbs. of $1.00 coffee
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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