Posted by **steven** on Wednesday, June 20, 2012 at 8:16pm.

Adult tickets for a play cost $16 and child tickets cost $6. If there were 25 people at a performance and the theater collected $260 from ticket sales, how many adults and how many children attended the play?

- algebra -
**MathMate**, Wednesday, June 20, 2012 at 8:41pm
By system of equations:

C=number of child tickets sold

A=number of adult tickets sold

C+A = 25

6C+16A = 260

Solve for A and C (by substitution).

Solving the problem in the head without pencils or paper or calculator:

Adult tickets cost $10 more than child tickets. If all 25 were child tickets, they would have gathered 6*25=$150.

To get $260, there must have been (260-150)/10=11 adults.

So there were 11 adults and 14 children.

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