The sophomore class sold a total of 800 adult and student tickets to the school play. Adult tickets sold $8.75 each, and student tickets cost $5.00 each. If they took in a total of $1,600, which system of equations can be used to find x, the number of student tickets sold, and y, the number of adult tickets sold?
We are given two pieces of information. First, we know that the total number of tickets sold is 800. We can express this as an equation:
x + y = 800
where x represents the number of student tickets sold and y represents the number of adult tickets sold.
Second, we are told the total amount of money collected, which is $1,600. We can express this information as an equation using the costs of each type of ticket:
5x + 8.75y = 1600
where 5x represents the total amount collected from student tickets and 8.75y represents the total amount collected from adult tickets.
Therefore, the system of equations that can be used to find the number of student and adult tickets sold is:
x + y = 800
5x + 8.75y = 1600