SOLUTION: A 200 seat theater charges $3.00 for adults and $1.50 for children. If all seats were filled and the total ticket income was $510 how many adults and how many childen were in the a

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: A 200 seat theater charges $3.00 for adults and $1.50 for children. If all seats were filled and the total ticket income was $510 how many adults and how many childen were in the a      Log On

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Question 413960: A 200 seat theater charges $3.00 for adults and $1.50 for children. If all seats were filled and the total ticket income was $510 how many adults and how many childen were in the audience?
Answer by ewatrrr(10682) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

full 200 seat theater

Let x and (200-x)represent the number of adult and student tickets respectively

Question states***

  3x + 1.50(200-x) = $510

Solving for x

           1.50x = 510 - 1.5*200

               x = 210/1.5

               x = 140, number of adult tickets.   60 the number of student tickets.

CHECKING our Answer***

   $3*140 + $1.50*60 = $420 + $90 = $510