document.write( "Question 349181: The concession stand sells hot dogs and drinks during their high school foot ball game. John bought 6 hot dogs and 4 drinks and paid $6.70. Jessica bought 4 hot dogs and 3 drinks and paid $4.65. What is the price of a hot dog? \n" ); document.write( "

Algebra.Com's Answer #249621 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = price of 1 hotdog (in cents)
\n" ); document.write( "Let $\"b\"$ = price of 1 drink (in cents)
\n" ); document.write( "given:
\n" ); document.write( "For John:
\n" ); document.write( "(1) $\"6a+%2B+4b+=+670\"$
\n" ); document.write( "For Jessica:
\n" ); document.write( "(2) $\"4a+%2B+3d+=+465\"$
\n" ); document.write( "Multiply both sides of (1) by $\"3\"$
\n" ); document.write( "and both sides of (2) by $\"4\"$
\n" ); document.write( "Then subtract (2) from (1)
\n" ); document.write( "(1) $\"18a+%2B+12b+=+2010\"$
\n" ); document.write( "(2) $\"-16a+-+12d+=+-1860\"$
\n" ); document.write( " $\"2a+=+150\"$
\n" ); document.write( " $\"a+=+75\"$
\n" ); document.write( "Then, from (1)
\n" ); document.write( "(1) $\"6%2A75+%2B+4b+=+670\"$
\n" ); document.write( " $\"450+%2B+4b+=+670\"$
\n" ); document.write( " $\"4b+=+220\"$
\n" ); document.write( " $\"b+=+55\"$
\n" ); document.write( "The price of a hotdog is 75 cents \n" ); document.write( "

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