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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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) asx .

The cost to rent the chairs is $2 per chair, so the total cost of renting the chairs is2x .

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

So, the total cost for Emile is2x + 300 dollars.

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

Therefore, the total revenue Emile will make is7x 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 forx :

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.

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

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

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

So, the total cost for Emile is

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

Therefore, the total revenue Emile will make is

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

Now, let's solve this inequality for

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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