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

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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)   (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.

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