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.

 

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