document.write( "Question 1097170: A movie theater has two ticket prices: $8 for adults and $5 for children. I f the box office took in $4116 from the sale of 600 tickets how many tickerts of each kind were sold? \n" ); document.write( "

Algebra.Com's Answer #711580 by ikleyn(52802) $\"\"$ $\"About$

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document.write( " a +  c =  600,   (1)    (counting tickets)\r\n" );
document.write( "8a + 5c = 4116.   (2)    (counting dollars)\r\n" );
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document.write( "To solve, express c = 600-a from (1) and substitute it into (2). You will get the single equation for a:\r\n" );
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document.write( "8a + 5*(600-a) = 4116.\r\n" );
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document.write( "Simplify and solve it.  Then evaluate  c = 600-a.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is very standard problem on tickets (actually, on solving systems of linear equations in 2 unknowns).\r
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\n" ); document.write( "\n" ); document.write( "See the lesson\r
\n" ); document.write( "\n" ); document.write( " - Using systems of equations to solve problems on tickets \r
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