SOLUTION: 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

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Question 85724: 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?
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
Let a=adults, c=children
11a%2B10c=246money made from adult's and children's tickets
a%2Bc=23 number of people
a=23-c solve for any variable, in this case a
11%2Ahighlight%28%2823-c%29%29%2B10c=246plug in value of a in terms of c
253-11c%2B10c=246Distribute
253-c=246Simplify
-c=-7Isolate c
c=7Negate to make c a positive number
So the number of children that attended is 7
So the answer is C)