Let x be the number of adults attending and y be the number of children attending.
Given:
x + y = 500 (Total number of people attending)
10x + 5y = 3500 (Total amount earned from admission charges)
Solving the above equations simultaneously:
x = 500 - y
10(500 - y) + 5y = 3500
5000 - 10y + 5y = 3500
-5y = -1500
y = 300
Substitute y = 300 into the first equation:
x + 300 = 500
x = 200
Therefore, 200 adults and 300 children need to attend the PTA carnival for them to reach their goal of earning $3,500 from admission charges.
The Kingsley Middle School PTA is planning a carnival to raise money for the schools 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 permission to PTA wants to earn $3,500 from a mission charges how many adults and how many children need to attend the PTA to reach their goal of 3500
1 answer