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As part of a community service project at your high school, you are organizing a fund-raiser at the neighborhood movie theater. Money raised will benefit a summer camp for children with special needs. The admission charge is $10.00 per person, $5.50 of which is used to pay the movie theater’s rental fee. The remainder is donated to the summer camp fund.. . If the maximum capacity of the movie theater is 500 people, what is the maximum amount that can be donated? Write an equation that shows how much money will be donated and then solve.

User Kevin King
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Final answer:

The maximum amount that can be donated from organizing a fund-raiser at the movie theater is $2250, calculated by taking the ticket price per person ($10.00), subtracting the theater's rental fee ($5.50), and then multiplying by the maximum capacity (500 people).

Step-by-step explanation:

To find the maximum amount that can be donated from the fundraiser at the neighborhood movie theater, we must first understand that each person contributes $10.00 and $5.50 of this is used to pay for the movie theater's rental fee. Thus, the amount donated per person is $10.00 - $5.50.

Let the variable D represent the total donation amount, and we know that the maximum capacity of the theater is 500 people. So, the equation to find the maximum donation amount D is:

D = ($10.00 - $5.50) × 500

Calculate the amount that can be donated per person:

$10.00 - $5.50 = $4.50

Now, multiply the per person donation by the maximum number of people:

D = $4.50 × 500

D = $2250

Therefore, the maximum amount that can be donated to the summer camp fund is $2250.

User IEmanuele
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So the questions ask to write an equations that shows how much money will be donated and then solve. So let Y be the amount of money and X will be the number of people attending. So the equation would be y=(10-5.5)X so the answer would be Y=2250. I hope you are satisfied with my answer and feel free to ask for more 
User Peter Wilson
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