document.write( "Question 66150: Jim wants to buy a 5-pound mixture of chocolates. If one kind sells for $1.80 per pound and another for $2.30 per pound, how much of each kind can he buy for $10? Here's what I have so far:180x+230(5-x)=1000,but I don't think it's right. \n" ); document.write( "
Algebra.Com's Answer #46883 by ptaylor(2198) You can put this solution on YOUR website! Jim wants to buy a 5-pound mixture of chocolates. If one kind sells for $1.80 per pound and another for $2.30 per pound, how much of each kind can he buy for $10? Here's what I have so far:180x+230(5-x)=1000,but I don't think it's right.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I think that you are right on target!!!!!!!! GOOD WORK!!!!!\r \n" ); document.write( "\n" ); document.write( "Let x=the number of pounds of the $1.80 chocolates \n" ); document.write( "Then 5-x=the number of pounds of the $2.30 chocolates\r \n" ); document.write( "\n" ); document.write( "Cost of the $1.80 chocolates =$1.80x\r \n" ); document.write( "\n" ); document.write( "Cost of the $2.30 chocolates =$2.30(5-x)\r \n" ); document.write( "\n" ); document.write( "And we are told that the cost of the $1.80 chocolates plus the cost of the $2.30 chocolates equals $10.00. So our equation to solve is:\r \n" ); document.write( "\n" ); document.write( "(Now we'll start dealing in pennies to avoid confusion----just as you did)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "180x+230(5-x)=1000 \n" ); document.write( "180x+1150-230x=1000 Collect the x's and subtract 1150 from both sides: \n" ); document.write( "-50x=-150 \n" ); document.write( "x=3 lbs of the $1.80 chocolates \n" ); document.write( "5-x=5-3=2 lbs of the $2.30 chocolates\r \n" ); document.write( "\n" ); document.write( "ck\r \n" ); document.write( "\n" ); document.write( "3(180)+2(230)=1000 \n" ); document.write( "540+460=1000 \n" ); document.write( "1000=1000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |