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posted by jyt on Sunday, August 10, 2014 at 4:11pm.

Adult tickets for a play cost $18 and child tickets cost $12. If there were 20 people at a performance and the theatre collected $246 from ticket sales, how many adults and how many children attended the play?

c + a = 20 so c = 20-a 12 c + 18 a = 246 12(20-a) + 18 a = 246 240 -12 a + 18 a = 246 etc

x = adults 20 - x = children 18(x) + 12(20-x) = 246 12x + 240 - 12x = 246 Simplify: 6x = 6 So x = 1 adult 20 - 1 = 19 children :)

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