document.write( "Question 56767: 9. 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.
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Algebra.Com's Answer #38551 by funmath(2933)\"\" \"About 
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9. 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 $2.00. Find the cost of a chocolate bar and the cost of a pack of gum.
\n" ); document.write( "Let the price of the chocolate be:x
\n" ); document.write( "Let the price of the gum be:y
\n" ); document.write( "Then Sally's equation is:
\n" ); document.write( "3x+y=1.75
\n" ); document.write( "Jake's equation is:
\n" ); document.write( "2x+4y=2.00
\n" ); document.write( "Solve Sally's equation for y and substitute that into Jake's equation and solve for x:
\n" ); document.write( "3x+y=1.75
\n" ); document.write( "-3x+3x+y=1.75-3x
\n" ); document.write( "y=1.75-3x
\n" ); document.write( "\"2x%2B4%2Ahighlight%281.75-3x%29=2.00\"
\n" ); document.write( "\"2x%2B7-12x=2\"
\n" ); document.write( "\"-10x%2B7=2\"
\n" ); document.write( "\"-10x%2B7-7=2-7\"
\n" ); document.write( "\"-10x=-5\"
\n" ); document.write( "\"-10x%2F-10=-5%2F-10\"
\n" ); document.write( "\"x=.50\"
\n" ); document.write( "Substitute that itnto Sally's equation for x and solve for y:
\n" ); document.write( "\"3%2Ahighlight%28.50%29%2By=1.75\"
\n" ); document.write( "\"1.50%2By=1.75\"
\n" ); document.write( "\"-1.50%2B1.50%2By=1.75-1.50\"
\n" ); document.write( "\"y=.25\"
\n" ); document.write( "The chocolate cost x=$.50 and the gum cost y=$.25
\n" ); document.write( "Happy Calculating!!!
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