The drama club sold a total of 360 adult and student tickets for the school play. Charging $5 for each adult ticket and $3 for each student ticket, they collected $1,360 from ticket sales. How many student tickets did the drama club sell?
Business · High School · Mon Jan 18 2021
Answered on
Let's denote the number of adult tickets sold as A and the number of student tickets
sold as S.
We're given:
The total number of tickets sold is 360:
A+S=360
The price of each adult ticket is $5, and the price of each student ticket is $3, resulting in a total revenue of $1,360:
5A+3S=1360
We can use these equations to solve for the number of student tickets sold (S).
From equation 1 (A+S=360), we can express A in terms of S as A=360−S.
Now, substitute this expression for A into equation 2:
5A+3S=13605
(360−S)+3S =1360
1800−5S+3S = 1360
1800−2S = 1360
2S = 1800−1360
2S = 440
S = 440 / 2
s = 220
Therefore, the drama club sold 220 student tickets.