SOLUTION: Adult tickets for a play cost $17 and child tickets cost $2. If there were 32 people at a performance and the theater collected $364 from ticket sales, how many adults and how many

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: Adult tickets for a play cost $17 and child tickets cost $2. If there were 32 people at a performance and the theater collected $364 from ticket sales, how many adults and how many      Log On

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Question 38446: Adult tickets for a play cost $17 and child tickets cost $2. If there were 32 people at a performance and the theater collected $364 from ticket sales, how many adults and how many children attended the play?
Answer by fractalier(2101) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = # of adult tickets. Their value would then be 17a.
Let c = # of child tickets. Their value would be 2c.
Now set up the two equations.
a + c = 32
17a + 2c = 364
Double the first equation and subtract it from the second...
17a + 2c = 364
2a + 2c = 64
and we get
15a = 300
a = 20 and then of course
c = 12