document.write( "Question 80671: 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 a chocolate bar and the cost of a pack of gum. \n" ); document.write( "
Algebra.Com's Answer #57848 by ptaylor(2198)\"\" \"About 
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let x=cost of chocolate bars
\n" ); document.write( "and y=cost of gum\r
\n" ); document.write( "\n" ); document.write( "Now we are told that 3x+y=$1.75-------------------------eq1\r
\n" ); document.write( "\n" ); document.write( "We are also told that 2x+4y=$2.00-------------------------eq2\r
\n" ); document.write( "\n" ); document.write( "Multiply each term in eq1 by 4 and we get:\r
\n" ); document.write( "\n" ); document.write( "12x+4y=$7-----------------------------------------new eq1\r
\n" ); document.write( "\n" ); document.write( "Subtract eq2 from new eq1 and we have:\r
\n" ); document.write( "\n" ); document.write( "10x=$5 divide both sides by 10
\n" ); document.write( "x=$0.50----------------------------------cost of chocolate bars\r
\n" ); document.write( "\n" ); document.write( "substitute x=$0.50 into eq 2:\r
\n" ); document.write( "\n" ); document.write( "2($0.50)+4y=$2 get rid of parens
\n" ); document.write( "$1+4y=$2 subtract $1 from both sides\r
\n" ); document.write( "\n" ); document.write( "4y=$2-$1
\n" ); document.write( "4y=$1 divide both sides by 4
\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
\n" ); document.write( "and
\n" ); document.write( "2($0.50)+4($0.25)=$2
\n" ); document.write( "$2=$2\r
\n" ); document.write( "\n" ); document.write( "Hope this helps-------ptaylor
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