document.write( "Question 68125: Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of the chocolate bar and the cost of a pack of gum.\r
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document.write( "I am a bit confused on this can someone help with this. Thanks \n" );
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Algebra.Com's Answer #48402 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=cost of Chocolate bars \n" ); document.write( "And y=cost of gum\r \n" ); document.write( "\n" ); document.write( "3x+y=$1.75--------------------eq (1) \n" ); document.write( "2x+4y=$2.00-------------------eq (2)\r \n" ); document.write( "\n" ); document.write( "From eq (1), we see that y=1.75-3x; substitute this into (2)\r \n" ); document.write( "\n" ); document.write( "2x+4($1.75-3x)=$2.00 clear parens\r \n" ); document.write( "\n" ); document.write( "2x+$7.00-12x=$2.00 subtract 7.00 from both sides:\r \n" ); document.write( "\n" ); document.write( "-10x=-$7.00+$2.00 \n" ); document.write( "-10x=-$5.00 \n" ); document.write( "x=$0.50-------------cost of Chocolate bars\r \n" ); document.write( "\n" ); document.write( "substitute x=$0.50 into eq (1):\r \n" ); document.write( "\n" ); document.write( "3($0.50)+y=$1.75\r \n" ); document.write( "\n" ); document.write( "$1.50+y=$1.75 subtract $1.50 from both sides:\r \n" ); document.write( "\n" ); document.write( "y=$0.25-----------------------------------------cost of gum\r \n" ); document.write( "\n" ); document.write( "ck\r \n" ); document.write( "\n" ); document.write( "3($0.50)+$0.25=$1.75 \n" ); document.write( "$1.75=$1.75\r \n" ); document.write( "\n" ); document.write( "and\r \n" ); document.write( "\n" ); document.write( "2($0.50)+4($0.25)=$2.00\r \n" ); document.write( "\n" ); document.write( "$1.00+$1.00=$2.00 \n" ); document.write( "$2.00=$2.00\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps-----ptaylor\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |