document.write( "Question 572988: We can't seem to understand the method for putting together the equation on a Mixture Word Problem. The MATH is no problem; only the organization of the equation itself:\r
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document.write( "Two kinds of coffee were blended together, one worth $6.50 a pound and the other worth $5.95 a pound. The blend contained ten pounds more than twice as much as the $5.95 coffee than of the $6.50 coffee. How much of each kind was used if the value of the blend is $280.30? \n" );
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Algebra.Com's Answer #368618 by nerdybill(7384) You can put this solution on YOUR website! Two kinds of coffee were blended together, one worth $6.50 a pound and the other worth $5.95 a pound. The blend contained ten pounds more than twice as much as the $5.95 coffee than of the $6.50 coffee. How much of each kind was used if the value of the blend is $280.30? \n" ); document.write( ". \n" ); document.write( "Let x = amount (lbs) of $5.95 coffee \n" ); document.write( "then \n" ); document.write( "2x+10 = amount (lbs) of $6.50 coffee \n" ); document.write( ". \n" ); document.write( "5.95x + 6.50(2x+10) = 280.30 \n" ); document.write( "5.95x + 13x+65 = 280.30 \n" ); document.write( "18.95x+65 = 280.30 \n" ); document.write( "18.95x = 215.3 \n" ); document.write( "x = 11.36 lbs ($5.95 coffee) \n" ); document.write( ". \n" ); document.write( "$6.50 coffee: \n" ); document.write( "2x+10 = 2(11.36)+10 = 32.72 lbs \n" ); document.write( " |