SOLUTION: 10. Adult tickets for a play cost $11 and child tickets cost $10. If there were 23 people at a performance and the theater collected $246 from ticket sales, how many children at

Question 43724: 10.
Adult tickets for a play cost $11 and child tickets cost $10. If there were 23 people at a performance and the theater collected $246 from ticket sales, how many children attended the play?

A) 8 children B) 16 children C) 7 children D) 6 children

Answer by aaaaaaaa(138) (Show Source): You can put this solution on YOUR website!
Number of adults = a
Number of children = c

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
We'll use substitution. After moving 1*c to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that c=7. Since , a=16.

Answer: .

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