Noah went to a concert with his family on weekends. The price for an adult ticket was $13. The price of a children ticket was $9. It was known that $5771 was collected from the sales of tickets. Out of the sales, $3926 was from adult tickets. What was the total number of tickets sold for the concert?

To solve this problem, we need to find out how many adult tickets and children tickets were sold.

Step 1: Find out how many adult tickets were sold. We know that $3926 was collected from the sales of adult tickets. Since each adult ticket costs$13, we can find the number of adult tickets sold by dividing the total amount collected from adult tickets by the price of an adult ticket. So, the number of adult tickets sold = $3926 /$13 = 302 tickets.

Step 2: Find out how much money was collected from the sales of children tickets. We know that the total money collected was $5771. If we subtract the money collected from adult tickets, we can find out how much money was collected from children tickets. So, the money collected from children tickets =$5771 - $3926 =$1845.

Step 3: Find out how many children tickets were sold. We know that each children ticket costs $9. So, we can find the number of children tickets sold by dividing the total amount collected from children tickets by the price of a children ticket. So, the number of children tickets sold =$1845 / $9 = 205 tickets.

Step 4: Find out the total number of tickets sold. We can find the total number of tickets sold by adding the number of adult tickets sold and the number of children tickets sold. So, the total number of tickets sold = 302 tickets (adult) + 205 tickets (children) = 507 tickets.

Therefore, the total number of tickets sold for the concert was 507.