document.write( "Question 796644: the concession stand at an ice hockey rink had receipts of $7200 from selling a total of 3000 sodas and hot dogs. if each soda sold for $2 and each hot dog sold for $4, how many of each were sold? \n" ); document.write( "

Algebra.Com's Answer #481508 by Cromlix(4381) $\"\"$ $\"About$

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Sodas = x
\n" ); document.write( "Hot dogs = y
\n" ); document.write( "x + y = 3000.....1
\n" ); document.write( "2x + 4y = 7200.....2
\n" ); document.write( "Multiply Eq (1) by 4
\n" ); document.write( "x + y = 3000.....1
\n" ); document.write( "4x + 4y = 12000.....3
\n" ); document.write( "2x + 4y = 7200......2
\n" ); document.write( "Subtract Eq(2) from Eq(3)
\n" ); document.write( "2x = 4800
\n" ); document.write( "x = 2400
\n" ); document.write( "Substitute x = 2400 into
\n" ); document.write( "Eq(1)
\n" ); document.write( "x + y = 3000.......1
\n" ); document.write( "2400 + y = 3000
\n" ); document.write( "y = 3000 - 2400
\n" ); document.write( "y = 600
\n" ); document.write( "Therefore 2,400 sodas and
\n" ); document.write( "600 hot dogs were sold.
\n" ); document.write( "Hope this helps.
\n" ); document.write( ":-) \n" ); document.write( "

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