Question
A 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 in children five dollars for admission. The PTA wants 3500 for admission charges. How many adults and how many children need to attend for the PTA to reach their goal of 3500
Answers
GPT 3.5
Let x be the number of adults attending and y be the number of children attending.
From the given information, we can set up the following equations:
x + y = 500 (total number of people attending)
10x + 5y = 3500 (total admission charges)
From the first equation, we can solve for x:
x = 500 - y
Substitute x into the second equation:
10(500 - y) + 5y = 3500
5000 - 10y + 5y = 3500
-5y = -1500
y = 300
Now, we can substitute y back into the equation to solve for x:
x = 500 - 300
x = 200
Therefore, 200 adults and 300 children need to attend the carnival for the PTA to reach their goal of $3500.
From the given information, we can set up the following equations:
x + y = 500 (total number of people attending)
10x + 5y = 3500 (total admission charges)
From the first equation, we can solve for x:
x = 500 - y
Substitute x into the second equation:
10(500 - y) + 5y = 3500
5000 - 10y + 5y = 3500
-5y = -1500
y = 300
Now, we can substitute y back into the equation to solve for x:
x = 500 - 300
x = 200
Therefore, 200 adults and 300 children need to attend the carnival for the PTA to reach their goal of $3500.