document.write( "Question 469602: Selma needs to prepare 180 pounds of coffee selling for $4.72 per pound. She plans to do this by blending together a high-quality bean costing $5.50 per pound and a cheaper pound at $3.50 per pound. To the nearest pound find out how much high quality beans and how many of the cheaper beans coffee beans should be blended. She should blend _____ lbs of the higher costing bean.
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document.write( "She should blend ______ lbs of the cheaper costing bean. \n" );
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Algebra.Com's Answer #322170 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Selma needs to prepare 180 pounds of coffee selling for $4.72 per pound. She plans to do this by blending together a high-quality bean costing $5.50 per pound and a cheaper bean at $3.50 per pound. To the nearest pound find out how much high quality beans and how many of the cheaper beans coffee beans should be blended. \n" ); document.write( "-------- \n" ); document.write( "Equations: \n" ); document.write( "Quantity Eq:: t + f = 180 lbs \n" ); document.write( "Value Eq::: 3.50t+5.50f=4.72*180 \n" ); document.write( "-------------------------------------- \n" ); document.write( "Multiply thru the Quantity Eq by 350. \n" ); document.write( "Multiply thru the Value Eq by 100. \n" ); document.write( "--------------------------------------- \n" ); document.write( "350t + 350f = 350*180 \n" ); document.write( "350t + 550f = 472*180 \n" ); document.write( "---- \n" ); document.write( "Subtract and solve for \"f\": \n" ); document.write( "200f = 122*180 \n" ); document.write( "f = (9/10)122 \n" ); document.write( "f = 109.8 lbs (amt. of higher priced coffee needed) \n" ); document.write( "--- \n" ); document.write( "Solve for \"t\": \n" ); document.write( "t + f = 180 \n" ); document.write( "t = 180-109.8 = 70.2 lbs (amt. of lower priced coffee needed) \n" ); document.write( "======================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=======================================\r \n" ); document.write( "\n" ); document.write( " She should blend _____ lbs of the higher costing bean. \n" ); document.write( "She should blend ______ lbs of the cheaper costing bean. \n" ); document.write( " \n" ); document.write( " |