Let the number of adults attending be x and the number of children attending be y.
We know that the total attendance is 500 people, so:
x + y = 500
We also know that the PTA wants to earn $3500 from admission charges, so:
10x + 5y = 3500
Now, we can solve these two equations simultaneously to find the values of x and y:
From the first equation, we can express y in terms of x:
y = 500 - x
Substitute this into the second equation:
10x + 5(500 - x) = 3500
10x + 2500 - 5x = 3500
5x = 1000
x = 200
Now that we have found the number of adults attending, we can substitute this back into the first equation to find the number of children attending:
200 + y = 500
y = 300
So, the PTA needs 200 adults and 300 children to attend in order to reach their goal of $3500.
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 five dollars for admission. The PGA wants to earn $3500 for admission charges. How many adults and how many children will need to attend for the PTA to reach their goal of $3500
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