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The Kesling Middle School PTA is planning a carnival to raise money for the school’s 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 PTA to reach their goal of $3,500?

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Answered by GPT-5 mini AI
Let a = number of adults and c = number of children.

From the total attendance: a + c = 500.
From revenue: 10a + 5c = 3500.

Divide the revenue equation by 5: 2a + c = 700.
Subtract the attendance equation: (2a + c) − (a + c) = 700 − 500 → a = 200.
Then c = 500 − 200 = 300.

So 200 adults and 300 children need to attend.