document.write( "Question 619984: How many pounds of gourmet candy selling for $1.40 per pound should be mixed with 4 pounds of candy selling for $2.40 per pound to obtain a mixture selling for $1.80 per pound? \n" ); document.write( "
Algebra.Com's Answer #389874 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Candy type-1 \n" ); document.write( "Pounds = x \n" ); document.write( "Cost of Candy per pound = 1.40 \n" ); document.write( "Total Cost of x pound candies =1.40*x=$1.40x\r \n" ); document.write( "\n" ); document.write( "Candy type-2 \n" ); document.write( "Pounds = 4 \n" ); document.write( "Cost of Candy per pound = 2.40 \n" ); document.write( "Total Cost of 4 pound candies =2.40*4=$9.60\r \n" ); document.write( "\n" ); document.write( "Mixture \n" ); document.write( "Mixture = (Candy type-1)+(Candy type-2) \n" ); document.write( "Mixture = (x+4)pounds \n" ); document.write( "Cost of mixture per pound = $1.80 \n" ); document.write( "Total Cost of mixture = 1.80(x+4)=1.80x+7.2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Total Cost of mixture per pound = Total Cost of candy type-1 per pound + Total cost of candy type-2 per pound \n" ); document.write( "1.80x+7.2=1.40x+9.60 \n" ); document.write( "1.80x-1.40x=9.60-7.2 \n" ); document.write( "0.40x=2.4 \n" ); document.write( "x=2.4/0.40 \n" ); document.write( "x=6 pounds\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6 pounds of gourmet candy selling for $1.40 per pound should be mixed with 4 pounds of candy selling for $2.40 per pound to obtain a mixture selling for $1.80 per pound.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check \n" ); document.write( "====== \n" ); document.write( "Total Mixture Cost = Total cost of candy type-1 + Candy type-2 \n" ); document.write( "(6+4)*1.80=6*1.40+4*2.40 \n" ); document.write( "10*1.80 = 8.4+9.6 \n" ); document.write( "18=18\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |