document.write( "Question 241631: A vendor sells hot dogs and bags of potato chips. A customer buys 5 hot dogs and 3 bags of potato chips for $17.00. Another customer buys 3 hot dogs and 2 bags of potato chips for $10.50. Find the cost of each item. \n" ); document.write( "
Algebra.Com's Answer #176983 by stanbon(75887)\"\" \"About 
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A vendor sells hot dogs and bags of potato chips. A customer buys 5 hot dogs and 3 bags of potato chips for $17.00. Another customer buys 3 hot dogs and 2 bags of potato chips for $10.50. Find the cost of each item.
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\n" ); document.write( "Equations:
\n" ); document.write( "5h + 3p = 17
\n" ); document.write( "3h + 2p = 10.5
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\n" ); document.write( "Multiply thru the 1st by 3
\n" ); document.write( "Multiply thru the 2nd by 5
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\n" ); document.write( "15h + 9p = 51
\n" ); document.write( "15h + 10p = 52.5
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\n" ); document.write( "Subtract 1st from 2nd and solve for \"p\":
\n" ); document.write( "p = $1.50 (cost of a bag of potato chips)
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\n" ); document.write( "Substitute into 5h+3p=17 to solve for \"h\":
\n" ); document.write( "5h + 3(1.5) = 17
\n" ); document.write( "5h = 12.5
\n" ); document.write( "h = $2.50 (cost of a hot dog)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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