document.write( "Question 505846: A bag of peanuts is worth $. 42 less than the same size of cashews. Equal amounts of peanuts and cashews are used to make 40 bags of a mixture that sells for $1.10 per bag. How much is a bag of cashews worth?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #340003 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let's deal in pennies \n" ); document.write( "Let x=the cost of a bag of cashews \n" ); document.write( "then x-42=cost of a bag of peanuts\r \n" ); document.write( "\n" ); document.write( "The cost of the cashews and peanuts before they are mixed together has to equal the cost after they are mixed, soooo: \n" ); document.write( "20x+20(x-42)=40*110 \n" ); document.write( "20x+20x-840=4400 add 840 to each side \n" ); document.write( "40x=5240 \n" ); document.write( "x=131 or $1.31 --------------cost of a bag of cashews \n" ); document.write( "and \n" ); document.write( "x-42=131-42=$0.89----------cost of a bag of peanuts \n" ); document.write( "CK \n" ); document.write( "20*($1.31)+20*($0.89)=40*($1.10) \n" ); document.write( "$26.20+$17.80=$44.00 \n" ); document.write( "$44.00=$44.00\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps--ptaylor \n" ); document.write( " \n" ); document.write( " |