Let x be the number of adults and y be the number of children attending the carnival.
The total number of people attending is x + y = 500.
The total revenue from adults attending is $10x.
The total revenue from children attending is $5y.
The total revenue from admission charges is $10x + $5y = $3,500.
Substitute the first equation into the second equation:
$10(500 - y) + $5y = $3,500
$5,000 - $10y + $5y = $3,500
-$5y = -$1,500
y = 300
Substitute the value of y back into the first equation to solve for x:
x + 300 = 500
x = 200
Therefore, the PTA needs 200 adults and 300 children to attend the carnival to reach their goal of $3,500.
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