document.write( "Question 418731: keil is going to make 14 pounds of mixed nuts for a party. Peanuts cost 3.50 per pound and cashews cost 7.50 per pound. If Keil can spend 81.00$ on nuts, how many pounds of each should he buy? \n" ); document.write( "
Algebra.Com's Answer #292987 by MRperkins(300)![]() ![]() You can put this solution on YOUR website! I can work this one at http://vyew.com/room#/365877/algebra.com if you want or you can wait and I'll answer it shortly through here.\r \n" ); document.write( "\n" ); document.write( "let x=pounds of peanuts \n" ); document.write( "y=pounds of cashews\r \n" ); document.write( "\n" ); document.write( "then x+y=14 since they have to add up to be 14 pounds. \n" ); document.write( "3.50x+7.50y=81\r \n" ); document.write( "\n" ); document.write( "Now solve using substitution or elimination. Substitution is likely easier in this case. \n" ); document.write( "x=14-y \n" ); document.write( "3.50(14-y)+7.50y=81 \n" ); document.write( "49-3.5y+7.5y=81 \n" ); document.write( "49+4y=81 \n" ); document.write( "4y=32 \n" ); document.write( "y=8 pounds \n" ); document.write( "x+y=14 \n" ); document.write( "x+8=14 \n" ); document.write( "x=6 pounds \n" ); document.write( "so he should buy 6 pounds of peanuts and 8 pounds of cashews. \n" ); document.write( " |