The keeling middle school pta is planning a carnival to raise money father scool art department. They estimate that the event will be very popular and they will have 500 people attend. They plan to charge adults $10 and children $5 for admission. To earn $3500 how many adults and children tickets they need to sell?
Let x be the number of adult tickets and y be the number of children tickets.
The total number of tickets sold is x + y = 500.
The total revenue earned from adult tickets is 10x and the total revenue earned from children tickets is 5y.
Given that the total revenue needed is $3500, we have:
10x + 5y = 3500
x + y = 500
Solving the system of equations simultaneously, we get:
x = 200
y = 300
Therefore, they need to sell 200 adult tickets and 300 children tickets to earn $3500.