document.write( "Question 1018922: a jazz concert brought in $113,000 on the sale of 7,200 tickets. If the tickets sold for $10 and $20 each, how many of each type of ticket were sold? \n" ); document.write( "

Algebra.Com's Answer #635010 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "Make $10 = 'x'
\n" ); document.write( "$20 tickets = 'y'
\n" ); document.write( "x + y = 7,200......(1)
\n" ); document.write( "10x + 20y = 113000...(2)
\n" ); document.write( "Multiply (1) by 10
\n" ); document.write( "10x + 10y = 72000....(1)
\n" ); document.write( "10x + 20y = 113000...(2)
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( ".....10y = 41,000
\n" ); document.write( ".......y = 4,100
\n" ); document.write( "Substitute y = 4,100 in (1)
\n" ); document.write( "x + y = 7,200....(1)
\n" ); document.write( "x + 4,100 = 7,200
\n" ); document.write( " x = 7,200 - 4,100
\n" ); document.write( "x = 3,100
\n" ); document.write( "3,100 x $10 tickets
\n" ); document.write( "4,100 x $20 tickets
\n" ); document.write( "Hope this helps :-)
\n" ); document.write( " \n" ); document.write( "

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