# SOLUTION: Adult tickets for a play cost \$15 and child tickets cost \$6. If there were 33 people at a performance and the theater collected \$360 from ticket sales, how many children attended

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 Click here to see ALL problems on Miscellaneous Word Problems Question 110527: Adult tickets for a play cost \$15 and child tickets cost \$6. If there were 33 people at a performance and the theater collected \$360 from ticket sales, how many children attended the play?Answer by ptaylor(2052)   (Show Source): You can put this solution on YOUR website!Let x=number of children attending Then 33-x=number of adults, right? Amount collected from children = \$6x Amount collected from adults=\$15(33-x) And we are told that the above amounts = \$360------So: \$6x+\$15(33-x)=\$360 get rid of parens (distributive law) \$6x+\$495-\$15x=\$360 subtract \$495 from both sides \$6x+\$495-\$495-\$15x=\$360-\$495 collect like terms -\$9x=-\$135 divide both sides by -9 x=15-----------------------------------number of children attending 33-x=33-15=18----------------------------number of adults attending CK 18+15=33 33=33 also \$6*15+\$15*18=\$360 \$90+\$270=\$360 \$360=\$360 Hope this helps---ptaylor