SOLUTION: A drama club sold 500 student and adult tickets to their play. Adult tickets cost $5 and student tickets cost $2.50. The total income was $1362.50. Set up two variables and 2 equat

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: A drama club sold 500 student and adult tickets to their play. Adult tickets cost $5 and student tickets cost $2.50. The total income was $1362.50. Set up two variables and 2 equat      Log On

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Question 841339: A drama club sold 500 student and adult tickets to their play. Adult tickets cost $5 and student tickets cost $2.50. The total income was $1362.50. Set up two variables and 2 equations to determine the number of adult and student tickets sold.
My first thought was to set it up as
x= adult tickets
500-x= student tickets
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Excellent on:

x= adult tickets

500-x= student tickets

Instructor is calling for 'two' variables:

x= adult tickets

y = student tickets = 500-x     :)

Question states***The total income was $1362.50

 5x + 2.50y = 1362.50

 5x + 2.50(500-x) = 1362.50   |Substitute for 'y'

 5x + 1250 -2.50x = 1362.50   

     2.50x = 112.50

         x = 45, number of Adult tickets.  455 student tickets

CHECKING our answer***

  $225 + $1137.50 = $1362.50

Wish You the Best in your Studies.