document.write( "Question 123406: A grocer buys walnuts for $0.45/lb. and pecans for $0.60/lb. If the nuts must be combined for a 90 lb. mix worth $0.55/lb, how many pounds of walnuts must be added? \n" ); document.write( "
Algebra.Com's Answer #90615 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! grocer buys walnuts for $0.45/lb. and pecans for $0.60/lb. If the nuts must be combined for a 90 lb. mix worth $0.55/lb, how many pounds of walnuts must be added? \n" ); document.write( ": \n" ); document.write( "Let x = no. of lbs of walnuts required \n" ); document.write( "then \n" ); document.write( "(90-x) = no. of lbs of pecans required \n" ); document.write( ": \n" ); document.write( "we can do this without the decimals, just use cents: \n" ); document.write( ": \n" ); document.write( "45x + 60(90-x) = 55(90) \n" ); document.write( ": \n" ); document.write( "45x = 5400 - 60x = 4950 \n" ); document.write( ": \n" ); document.write( "45x - 60x = 4950 - 5400 \n" ); document.write( ": \n" ); document.write( "-15x = -450 \n" ); document.write( "x = \n" ); document.write( "x = +30 lb of walnuts \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "that would leave 60 lb of pecans; see if that checks out \n" ); document.write( "45(30) + 60(60) = 55(90) \n" ); document.write( "1350 + 3600 = 4950; confirms our solution \n" ); document.write( " |