Let's denote the number of adults attending as A and the number of children attending as C.
From the given information, we know that adults will be charged $10 each and children will be charged $5 each for admission. Therefore, the total revenue generated from adult attendees will be 10A and from child attendees will be 5C.
We are given that the total revenue from admission charges is expected to be $3,500. Therefore, we can write the equation:
10A + 5C = 3500
Additionally, we are told that a total of 500 people will attend the carnival, so the total number of attendees can be written as:
A + C = 500
Now, we can solve these two equations simultaneously to find the values of A and C.
First, we can rewrite the second equation as A = 500 - C, and substitute this into the first equation:
10(500 - C) + 5C = 3500
5000 - 10C + 5C = 3500
5000 - 5C = 3500
-5C = -1500
C = 300
Now that we have found the number of children attending, we can substitute this back into the equation A = 500 - C to find the number of adults:
A = 500 - 300
A = 200
Therefore, the PTA needs 200 adults and 300 children to attend the carnival in order to reach their goal of $3,500 in revenue from admission charges.
The kesling middle school pta is planning a carnival to raise money for the schools art department. they estimate that the even 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 answer