document.write( "Question 765872: Adult tickets for a play cost $16 and child tickets cost $6. If there were 25 people at a performance and the theater collected $260 from ticket sales, how many adults and how many children attended the play? \n" ); document.write( "

Algebra.Com's Answer #466475 by mananth(16946) $\"\"$ $\"About$

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x= Number of adults
\n" ); document.write( "y= Number of children
\n" ); document.write( "
\n" ); document.write( "1 x + 1 y = 25 .............1
\n" ); document.write( "Total value
\n" ); document.write( "16 x + 6 y = 260 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -6
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-6 x -6 y = -150
\n" ); document.write( "16 x + 6 y = 260
\n" ); document.write( "Add the two equations
\n" ); document.write( "10 x = 110
\n" ); document.write( "/ 10
\n" ); document.write( "x = 11
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 25
\n" ); document.write( "11 + y = 25
\n" ); document.write( " y = 25 -11
\n" ); document.write( " y = 14
\n" ); document.write( " y = 14
\n" ); document.write( "x= 11 Number of adults
\n" ); document.write( "y= 14 Number of children
\n" ); document.write( "m.ananth@hotmail.ca
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