Answer:
the number of adult tickets sold is
x = 89
and , the number of student tickets sold is y = 178
Step-by-step explanation:
Let the number of adult tickets sold be x and number of student tickets sold be y !
Given, :- Total 267 tickets were sold
i.e, x + y = 267
x = 267 - y .... ( i )
Also, The number of student tickets sold was two times the number of adult tickets sold.
i.e, y = 2x ...... ( ii )
putting value of x from ( i ) in ( ii )
y = 2 ( 267 - y )
y = 534 - 2y
3y = 534
y = 534/3
y = 178
also, x = 267 - y
x = 267 - 178
x = 89
So, the number of adult tickets sold is
x = 89
and , the number of student tickets sold is y = 178
Using a system of equations, it is found that 89 adult tickets were sold.
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
A total of 267 tickets were sold for the school play, hence:
[tex]x + y = 267[/tex]
The number of student tickets sold was two times the number of adult tickets sold, hence:
[tex]y = 2x[/tex]
Replacing on the first equation:
[tex]x + y = 267[/tex]
[tex]x + 2x = 267[/tex]
[tex]x = \frac{267}{3}[/tex]
[tex]x = 89[/tex]
89 adult tickets were sold.
To learn more about system of equations, you can take a look at https://brainly.com/question/24342899
