Posted by **ANYONE Smart** on Sunday, November 25, 2007 at 8:20pm.

Adult tickets for a play cost $13 and child tickets cost $3. If there were 20 people at a performance and the theater collected $200 from ticket sales, how many children attended the play?

- algebra -
**Michael**, Sunday, November 25, 2007 at 8:25pm
Set up a system of equations to model the situation.

Let a be the number of adult tickets sold, and let c be the number of child tickets sold.

See what you get, and I'll help you.

- algebra -
**ANYONE Smart**, Sunday, November 25, 2007 at 8:28pm
a+c=20??

- algebra -
**ANYONE Smart**, Sunday, November 25, 2007 at 8:31pm
13a+3c=200??

- algebra -
**Michael**, Sunday, November 25, 2007 at 8:34pm
Yes, very good. Now, we are trying to find the number of children who attended the play (c).

We have these equations:

a + c = 20

13a + 3c = 200

The easiest way to solve this is substitution. Solve the first equation for a, and then plug that into the second equation. You will then have all c's in the equation and will be able to solve it like any other equation.

- algebra -
**kim**, Saturday, October 25, 2014 at 11:33am
a=20-c

13(20-c)+3c = 200

260 -13c +3c = 200

60=10c

6=c

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