Tickets for a school carnival cost $10 for adults and $5 for children . last saturdays carnival sold 170 tickets worth a total of $1200 . how many adults and how many children attend the carnival ?

100 children and 70 adult tickets were sold.

Step-by-step explanation:

Let x represent number of adult tickets and y represent number of children tickets.

We have been given that tickets for a school carnival cost $10 for adults, so cost of x tickets would be .

Since cost of each ticket for children is $5, so cost of y tickets would be .

We are told that last Saturday carnival sold tickets worth a total of $1200. We can represent this information in an equation as:

We are also told that number of total tickets sold was 170. We can represent this information in an equation as:

Now, we will use substitution method to solve system of linear equations. From equation (2), we will get:

Upon substituting in equation (1), we will get:

Therefore, 100 children tickets were sold.

To find number of children tickets sole, we will substitute in equation (2).

Therefore, 70 adult tickets were sold.