SOLUTION: 1500 theater tickets were sold for a performance. General admission was $12 but student rates offered a 50% discount. Box office receipts totaled $15,600. How many students attende

Algebra ->  Linear-equations -> SOLUTION: 1500 theater tickets were sold for a performance. General admission was $12 but student rates offered a 50% discount. Box office receipts totaled $15,600. How many students attende      Log On


   

Question 393196: 1500 theater tickets were sold for a performance. General admission was $12 but student rates offered a 50% discount. Box office receipts totaled $15,600. How many students attended?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x and (1500-x) represent the number of non-students and students respectively

Question states*** 50% of $12 = $6  (half price) 

 $12x + $6(1500-x) = $15600

        $6x = $15600 - $9000

        $6x = $6600

         x = 1100, number of non-students.  Students numbered 400.



CHECKING our Answer

 $12*1100 + $6* 400 = $13200 + $2400 = $15600