3. The drama club sold 240 tickets to the play. They sold 20 more
student tickets than adult tickets. How many of each type of
ticket did they sell?

Respuesta :

Answer:

100 adult tickets and 140 student tickets

Step-by-step explanation:

Answer:

Sold student tickets: 130, sold adult tickets: 110

Step-by-step explanation:

Let s = number of student tickets sold,

Let a = number of adult tickets sold.

[tex]s = 20+a[/tex] (It is given that there were 20 more student tickets sold than adult tickets)

[tex]s+a=240[/tex] (It is given that the total tickets sold is 240)

[tex]20+a+a = 240[/tex]

[tex]2a=220[/tex]

[tex]a = 110[/tex]

We can use substitution to find the number of student tickets:

[tex]s+a = 240[/tex]

[tex]s + 110 = 240[/tex]

[tex]s = 130[/tex]

∴110 adult tickets and 130 student tickets were sold.

I hope this helps :)