Question

Emile organizes a community dance to raise funds. In addition to paying $300 to rent the room, she must rent chairs at $2 each. The quantity of chairs rented will be equal to the number of tickets sold. She sells tickets for $7 each. How much should she sell to raise money?

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Answer to a math question Emile organizes a community dance to raise funds. In addition to paying $300 to rent the room, she must rent chairs at $2 each. The quantity of chairs rented will be equal to the number of tickets sold. She sells tickets for $7 each. How much should she sell to raise money?

Expert avatar
Miles
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66 Answers
To find out how much Emile should sell the tickets for, we need to consider the costs and revenue involved.

Let's denote the number of chairs rented (which is equal to the number of tickets sold) as x.

The cost to rent the chairs is $2 per chair, so the total cost of renting the chairs is 2x.

Emile also needs to pay $300 to rent the room.

So, the total cost for Emile is 2x + 300 dollars.

Emile sells the tickets for $7 each, and the number of tickets sold is x.

Therefore, the total revenue Emile will make is 7x dollars.

To raise money, Emile needs the revenue to be greater than or equal to the cost:

7x \geq 2x + 300

Now, let's solve this inequality for x:

7x - 2x \geq 300

5x \geq 300

x \geq \frac{300}{5}

x \geq 60

Since Emile cannot sell a fraction of a ticket, she should sell at least 60 tickets in order to raise money.

Answer: Emile should sell at least 60 tickets to raise money.

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