document.write( "Question 1164359: A coffee merchant combines coffee that costs $7 per pound with coffee that costs $3.30 per pound. How many pounds of each should be used to make 25 lb of a blend costing $5.89 per pound?
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Algebra.Com's Answer #788734 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A coffee merchant combines coffee that costs $7 per pound with coffee that costs $3.30 per pound. \n" ); document.write( " How many pounds of each should be used to make 25 lb of a blend costing $5.89 per pound? \n" ); document.write( ": \n" ); document.write( "let a = amt of $7 coffee required \n" ); document.write( "the final amt is to be 25 lb, therefore \n" ); document.write( "(25-a) = amt of $3.30 coffee required \n" ); document.write( ": \n" ); document.write( "A typical mixture equation \n" ); document.write( "7a + 3.30(25-a) = 5.89(25) \n" ); document.write( "7a + 82.5 - 3.3a = 147.25 \n" ); document.write( "7a - 3.3a = 147.25 - 82.50 \n" ); document.write( "3.7a = 64.75 \n" ); document.write( "a = 64.75/ \n" ); document.write( "a = 17.5 lb of $7 coffee \n" ); document.write( "and \n" ); document.write( "25 - 17.5 = 7.5 lb of $3.30 coffee \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this out \n" ); document.write( "7(17.5) + 3.3(7.5) = 5.89(25) \n" ); document.write( "122.50 + 24.75 = 147.25 \n" ); document.write( " |