document.write( "Question 354406: Peanuts cost $4 per pound and walnuts cost $5.50 per pound. A 40-pound mixture sells for $184. How many pounds of each kind of nut are in the mixture? \n" ); document.write( "
Algebra.Com's Answer #253261 by sofiyac(983)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Let x be the number of pounds of peanuts, then the number of pounds of walnuts will be 40-x. \n" ); document.write( "The 40 pound mixture sells for 184, so 184/40=4.6 dollars per pound of the final product. \n" ); document.write( "4x+5.50(40-x)=4.6*40 \n" ); document.write( "4x+220-5.50x=184 \n" ); document.write( "-1.50x+220=184 subtract 220 from each side \n" ); document.write( "-1.50x=184-220 \n" ); document.write( "-1.50x=-36 divide both sides by -1.50 \n" ); document.write( "x=24 \n" ); document.write( "So 24 pounds of peanuts and 40-24=16 pounds of walnuts. \n" ); document.write( " |