Let x be the number of adults attending the carnival.
Thus, the number of children attending the carnival is 500 - x.
The total admission charges from adults is 10x and the total admission charges from children is 5(500 - x).
The total admission charges will be 10x + 5(500 - x) = $3,500.
Expanding the equation, we get 10x + 2500 - 5x = $3,500.
Combining like terms, we get 5x + 2500 = $3,500.
Subtracting 2500 from both sides, we get 5x = $1,000.
Dividing both sides by 5, we get x = 200.
Therefore, there should be 200 adults and 500 - 200 = 300 children attending the carnival. Answer: \boxed{200; 300}.
The Kesling Middle School PTA is planning a carnival to raise money for the school’s art department. They estimate that the event will be very popular and that they will have 500 people attend. They plan to charge adults $10 and children $5 for admission. The PTA wants to earn $3,500 from admission charges. How many adults and how many children need to attend for the PTA to reach their goal of $3,500?(1 point)
adults;
children
1 answer