document.write( "Question 104283: Cashews sell for $4.00 per pound, Peanuts for $1.50 per pound. If you mix 60 lbs of peanuts in a cashew/peanut mix, how many pounds of cashews do you need to add to make a mix that costs $2.50 per pound. \n" ); document.write( "
Algebra.Com's Answer #76049 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! : Cashews sell for $4.00 per pound, Peanuts for $1.50 per pound. If you mix 60 lbs of peanuts in a cashew/peanut mix, how many pounds of cashews do you need to add to make a mix that costs $2.50 per \n" ); document.write( ": \n" ); document.write( "Let x = lb of cashews required \n" ); document.write( "Then \n" ); document.write( "The final amt = (x+60) \n" ); document.write( ": \n" ); document.write( "A nutty equation: \n" ); document.write( "4x + 1.5(60) = 2.5(x+60) \n" ); document.write( ": \n" ); document.write( "4x + 90 = 2.5x + 150 \n" ); document.write( ": \n" ); document.write( "4x - 2.5x = 150 - 90 \n" ); document.write( ": \n" ); document.write( "1.5x = 60 \n" ); document.write( ": \n" ); document.write( "x = 60/1.5 \n" ); document.write( ": \n" ); document.write( "x = 40 lb of cashews required \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in original equation: \n" ); document.write( "4(40) + 1.5(60) = 2.5(40+60) \n" ); document.write( "160 + 90 = 2.5(100) proves our solution \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Not that hard, right? \n" ); document.write( " \n" ); document.write( " |