document.write( "Question 324049: A vendor sells hot dogs and bags of potato chips. The first customer buys 3 hot dogs and 5 bags of chips and pays $14.74. The second customer buys 2 hot dogs and 2 bags of chips and pays $7.50. What is the price for each hot and each bag of chips? \n" ); document.write( "

Algebra.Com's Answer #231900 by stanbon(75887) $\"\"$ $\"About$

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A vendor sells hot dogs and bags of potato chips. The first customer buys 3 hot dogs and 5 bags of chips and pays $14.74. The second customer buys 2 hot dogs and 2 bags of chips and pays $7.50. What is the price for each hot and each bag of chips?
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\n" ); document.write( "Equations:
\n" ); document.write( "3h + 5c = 14.74
\n" ); document.write( "2h + 2c = 7.50
\n" ); document.write( "--------------------------
\n" ); document.write( "Multiply 1st Eq. by 2
\n" ); document.write( "Multiply 2nd Eq. by 3
\n" ); document.write( "--------------------------
\n" ); document.write( "6h + 10c = 29.48
\n" ); document.write( "6h + 6c = 22.50
\n" ); document.write( "-----------------------
\n" ); document.write( "Subtract 2nd from 1st.
\n" ); document.write( "4c = 6.98
\n" ); document.write( "c = $1.75 (cost of an order of chips)
\n" ); document.write( "--
\n" ); document.write( "Since 2h+2c = 7.50
\n" ); document.write( "2h + 2(1.75) = 7.50
\n" ); document.write( "2h = 4
\n" ); document.write( "h = $2.00 (cost of a hot dog)
\n" ); document.write( "===================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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