document.write( "Question 990522: A grocer mixes peanuts that cost $1.43 per pound and walnuts that cost $2.63 per pound to make 100 pounds of a mixture that costs $2.15 per pound. How much of each kind of nut is put into the mixture? \n" ); document.write( "
Algebra.Com's Answer #610627 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A grocer mixes peanuts that cost $1.43 per pound and walnuts that cost $2.63 per pound to make 100 pounds of a mixture that costs $2.15 per pound. \n" ); document.write( " How much of each kind of nut is put into the mixture? \n" ); document.write( ": \n" ); document.write( "let x = the amt of walnuts required \n" ); document.write( "The total of the final mixture is to be 100 lb, therefore \n" ); document.write( "(100-x) = amt of peanuts required \n" ); document.write( ": \n" ); document.write( "A typical mixture equation \n" ); document.write( "2.63x + 1.43(100-x) = 2.15(100) \n" ); document.write( "2.63x + 143 - 1.43x = 215 \n" ); document.write( "2.63x - 1.43x = 215 - 143 \n" ); document.write( "1.20x = 72 \n" ); document.write( "x = 72/1.2 \n" ); document.write( "x = 60 lb of walnuts \n" ); document.write( "then \n" ); document.write( "100 - 60 = 40 lb of peanuts \n" ); document.write( " \n" ); document.write( " |