Let the number of adults be x and the number of children be y.
Given:
x + y = 500 (total number of attendees)
10x + 5y = 3500 (total admission revenue)
Solving the two equations simultaneously:
From the first equation:
x = 500 - y
Substitute x in the second equation:
10(500 - y) + 5y = 3500
5000 - 10y + 5y = 3500
-5y = -1500
y = 300
Now, substitute y back into x = 500 - y:
x = 500 - 300
x = 200
Therefore, the PTA needs 200 adults and 300 children to attend in order 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