document.write( "Question 165650: Please help me solve this equation:
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document.write( " A merchant wishes to mix two grades of coffee, one of which sells for $0.80 per pound and one of which sells for $1.20 per pound. He wants to sell the mixture $1.10 per pound. If he has 25 pounds of the $0.80 coffee, how much of the $1.20 per pound coffee must he add so that the value of the final mixture is equal to the total value of the other two? \n" );
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Algebra.Com's Answer #122109 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A merchant wishes to mix two grades of coffee, one of which sells for $0.80 per pound and one of which sells for $1.20 per pound. He wants to sell the mixture $1.10 per pound. If he has 25 pounds of the $0.80 coffee, how much of the $1.20 per pound coffee must he add so that the value of the final mixture is equal to the total value of the other two? \n" ); document.write( "---------------------------------------- \n" ); document.write( "80 cent coffee DATA: \n" ); document.write( "Amt. = 25 lbs. ; value = 80*25 = 2000 cents \n" ); document.write( "-------------------------- \n" ); document.write( "120 cent coffee DATA: \n" ); document.write( "Amt = x lbs. ; value = 120x cents \n" ); document.write( "---------------------------- \n" ); document.write( "110 cent coffee DATA: \n" ); document.write( "Amt = 25+x lbs value = 110(25+x) \n" ); document.write( "----------------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "value + value = value \n" ); document.write( "2000 + 120x = 110(25+x) \n" ); document.write( "2000 + 120x = 2750 + 110x \n" ); document.write( "10x = 750 \n" ); document.write( "x = 75 lbs (amount of $1.20 coffee needed for the mixture) \n" ); document.write( "============================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |