Question
The castling 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 for admission the PTA wants to earn $3,500 from admission charges how many adults and how many children need to attend for the PDA to reach their goal of 3,500
Answers
GPT 3.5
Let's denote the number of adults as A and the number of children as C.
From the given information, we can create the following equations:
10A + 5C = 3500 (total amount earned from admission charges)
A + C = 500 (total number of people attending)
We can solve this system of equations simultaneously to find the values of A and C.
From the second equation, we can express A in terms of C as A = 500 - C
Substitute this expression for A into the first equation:
10(500 - C) + 5C = 3500
5000 - 10C + 5C = 3500
5000 - 5C = 3500
-5C = -1500
C = 300
Therefore, 300 children need to attend the carnival. To find the number of adults, substitute C into the equation A = 500 - C:
A = 500 - 300
A = 200
Therefore, 200 adults need to attend the carnival for the PTA to reach their goal of $3,500.
From the given information, we can create the following equations:
10A + 5C = 3500 (total amount earned from admission charges)
A + C = 500 (total number of people attending)
We can solve this system of equations simultaneously to find the values of A and C.
From the second equation, we can express A in terms of C as A = 500 - C
Substitute this expression for A into the first equation:
10(500 - C) + 5C = 3500
5000 - 10C + 5C = 3500
5000 - 5C = 3500
-5C = -1500
C = 300
Therefore, 300 children need to attend the carnival. To find the number of adults, substitute C into the equation A = 500 - C:
A = 500 - 300
A = 200
Therefore, 200 adults need to attend the carnival for the PTA to reach their goal of $3,500.