help me before 12 plzzzz

Question

 For a Saturday night high school football game, 240 tickets were sold. Students paid $2 each, while non-students paid $6 each. If a total of $924 was collected, how many students and how many non-students attended?

Answer 1

Hi Anthony,

You can solve this problem by creating two equations and solving them using elimination to find the number of tickets for each type.

Let's use the variable, s , to represent the NUMBER of student tickets and the variable, n , to represent the NUMBER of non-student tickets sold.

Since there was a total of 240 tickets sold, we can write the following equation to show this part of the situation: s + n = 240

Then using the ticket prices and the total amount of money taken in, we can write the following equation:

2s + 6n = 924

Now we can solve these two equations simultaneously using elimination:

s + n = 240

2s + 6 n = 924

Multiply the first equation by -2 and solve for n :

s + n = 240 becomes -2s + -2n = -480

2s + 6 n = 924 2s + 6n = 924

4n = 444

n = 111

Since there were 240 total tickets sold, s will be 129.

There were 111 non-student tickets and 129 student tickets sold.