# 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)   (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 ```