document.write( "Question 450548: Oh Nuts! sells cashews for $6.75 per pound and Brazil nuts for $5.00 per pound. How much of each type should be used to make a 50-lb mixture that sells for $5.70 per pound? \n" ); document.write( "
Algebra.Com's Answer #309878 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Oh Nuts! sells cashews for $6.75 per pound and Brazil nuts for $5.00 per pound. How much of each type should be used to make a 50-lb mixture that sells for $5.70 per pound? \n" ); document.write( "---- \n" ); document.write( "Using 2 equations with 2 variables: \n" ); document.write( "Quantity Eq:: c + b = 50 \n" ); document.write( "Value Eq::::675c+500b = 570*50 \n" ); document.write( "---------------------------------- \n" ); document.write( "Multiply thru the 1st equation by 675 to get: \n" ); document.write( "675c + 675c = 675*50 \n" ); document.write( "675c + 500c = 570*50 \n" ); document.write( "---- \n" ); document.write( "Subtract and solve for \"c\": \n" ); document.write( "175c = 105*50 \n" ); document.write( "c = 30 lb (# of pounds of cashews needed) \n" ); document.write( "--- \n" ); document.write( "Solve for \"b\": \n" ); document.write( "c + b = 50 \n" ); document.write( "30 + b = 50 \n" ); document.write( "b = 20 lb (# of pounds of Brazil nuts needed) \n" ); document.write( "================================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============= \n" ); document.write( " |