document.write( "Question 26407: Here is the word problem I need help with.\r
\n" ); document.write( "\n" ); document.write( "Adult tickets for a play cost $17 and child tickets cost $8. If there were 24 people at a performance and the theather collected $363 from ticket sales, how many children attend the play?\r
\n" ); document.write( "\n" ); document.write( "Thank you in advance for your help. \n" ); document.write( "

Algebra.Com's Answer #14255 by Paul(988) $\"\"$ $\"About$

You can put this solution on YOUR website!
Ok first Since there is no supportment agianist for many adults with childern or visa versa, then there must be more than one variables to consider.
\n" ); document.write( "Adult tickets =x
\n" ); document.write( "Childern tickets =y
\n" ); document.write( "Now togeth we get x+y=24 (solve for y)
\n" ); document.write( "y=24-x (Subsitution)
\n" ); document.write( "Now adults tickets cost $17 EACH for the quanity of the adults there.
\n" ); document.write( "Childern tickets cost $8 EACH for the quanity of the no. of childern there.
\n" ); document.write( "Total cost for them added together is $363.
\n" ); document.write( "SO:\r
\n" ); document.write( "\n" ); document.write( "17x+8y=363
\n" ); document.write( "Use subsitution.
\n" ); document.write( "17x+8(24-x)=363
\n" ); document.write( "17x+192-8x=363
\n" ); document.write( "9x=171
\n" ); document.write( "x=19
\n" ); document.write( "y=24-19
\n" ); document.write( "y=5\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hence, there were 5 childern tickets sold, and 19 adults tickets sold.
\n" ); document.write( "Paul. \n" ); document.write( "

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