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?

120

likes
602 views

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
4.9
114 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.

Frequently asked questions (FAQs)
What is the common characteristics between the logarithmic functions f(x) = log x and g(x) = ln x?
+
What is the equation of a line that passes through the points (2, 5) and (4, 11)?
+
Find the value of y when x = 3 in the circle function x^2 + y^2 = 25.
+
New questions in Mathematics
Simplify the expression sin³(x)+cos³(x), using trigonometric functions
10! - 8! =
-6n+5=-13
11(4x-9)= -319
5(4x+3)=75
Given the vectors: a = (2m – 3n, 4n – m) and b = (2, -3), find the values of m and n that make: a = 5 b.
Express the following numbers in decimal system, where the subscript indicates the base: 110101 (SUBINDEX=2)
math question a bookstore announces a promotion valid for the same purchase as follows: buy a book and get 10% off the total purchase! buy two books and get 20% off your total purchase! buy three or more books and get 30% off your total purchase! Marcelo wanted to buy three books that cost 20.00 each without discount but he decided to buy two books in one day and another purchase with the third book the next day. If he had bought the three books at once he would have saved the following amount.
A food delivery company charges on average a delivery fee of $5 per order (including food and shipping) and has monthly fixed costs of $600. If the average cost of each meal delivered that is revenue for the company is $10 and the company has a monthly profit of $800, how many orders must they deliver per month?
(5-(4-3)*3)-(8+5))
1 plus 1
Suppose 50% of the doctors and hospital are surgeons if a sample of 576 doctors is selected what is the probability that the sample proportion of surgeons will be greater than 55% round your answer to four decimal places
-4y-6(2z-4y)-6
suppose random variable x follows poisson distribution with expected value 3. what is variance of x?
The following table shows the frequency of care for some animal species in a center specializing in veterinary dentistry. Species % Dog 52.8 Cat 19.2 Chinchilla 14.4 Marmoset 6.2 Consider that the center only serves 10 animals per week. For a given week, what is the probability that at least two are not dogs? ATTENTION: Provide the answer to exactly FOUR decimal places
The mass of 120 molecules of X2C4 is 9127.2 amu. Identify the unknown atom, X, by finding the atomic mass. The atomic mass of C is 12.01 amu/atom
Given the word WEIRD, determine a four-letter offspring that can be formed with the letters of the word written above
The average undergraduate cost per tuition, fees, room, and board for all institutions last year was $26,025. A random sample of 40 institutions of higher learning this year indicated that the mean tuition, fees, room, and board for the sample was $27,690, and the population standard deviation is $5492. At the 0.05 level of significance, is there sufficient evidence that the cost has increased? (Remember to follow the steps in hypothesis testing)
x(squared) -8x=0
Construct a set of six pieces of data with​ mean, median, and midrange of 67 and where no two pieces of data are the same.