Let's represent the number of adults attending as A and the number of children attending as C.
From the given information:
A + C = 500 (total number of people attending)
10A + 5C = 3500 (total amount earned from admission charges)
By solving these two equations simultaneously, we can find out the values of A and C.
Multiplying the first equation by 5, we get:
5A + 5C = 2500
Subtracting the above equation from the second equation, we get:
5A = 1000
A = 200
Substitute the value of A back into the first equation to find C:
200 + C = 500
C = 300
Therefore, 200 adults and 300 children need to attend the carnival for the PTA to reach their goal of $3500.
The Kesling 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 PTA wants to earn $3500 from admission charges. How many adults and how many children need to attend for the PTA to reach their goal of $3500?
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