Question

A total of 366 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?

Answer 1

The number of adult tickets sold for the school play was 122.

Step-by-step explanation:

Let's use variables to represent the number of adult tickets and student tickets sold.

Let x be the number of adult tickets.

Since the number of student tickets sold was two times the number of adult tickets sold, we can say that the number of student tickets, represented by y, is equal to 2x.

The total number of tickets sold is 366, so we can write the equation x + y = 366.

Substituting y with 2x, we get x + 2x = 366.

Combining like terms, we have 3x = 366.

Dividing both sides of the equation by 3, we find that x = 122.

Therefore, 122 adult tickets were sold.

Answer 2

I will set it up and you finish.

Let a = adult

Let s = students

s = 2a

Here is your system of equations:

a + s = 366
s = 2a

Take it from here.