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 maximum value of the function f(x) = 2x^2 - 5x + 3 in the interval [0, 5]?
+
What is the integral of ∫(1 + x)^n dx, where n is a constant?
+
Question: What is the mean, mode, median, range, and average of the following data set: 7, 12, 15, 15, 18, 21, 21, 23?
+
New questions in Mathematics
A sample is chosen from a population with y = 46, and a treatment is then administered to the sample. After treatment, the sample mean is M = 47 with a sample variance of s2 = 16. Based on this information, what is the value of Cohen's d?
a runner wants to build endurance by running 9 mph for 20 min. How far will the runner travel in that time period?
A circle with a 12-inch diameter is folded in half and then folded in half again. What is the area of the resulting shape?
A book is between 400 and 450 pages. If we count them 2 at a time there is none left over, if we count them 5 at a time there is none left over and if we count them 7 at a time there are none left over, how many pages does the book have?
The derivative of a power is obtained just by subtracting 1 from the power True or false
*Question!!* *Victory saved 3,000 in first bank and 2,000 Naira in union bank PSC with interest rate of X% and Y% per annual respectively his total interest in one year is #640. If she has saved 2,000 naira with first bank and 3,000 naira in union bank for same period she would have made extra 20# as additional interest, then find the value of X and Y
B - (-4)=10
The main cost of a 5 pound bag of shrimp is $47 with a variance of 36 if a sample of 43 bags of shrimp is randomly selected, what is the probability that the sample mean with differ from the true mean by less than $1.4
-0.15/32.6
how many arrangements can be made of 4 letters chosen from the letters of the world ABSOLUTE in which the S and U appear together
Subscribers to the FAME magazine revealed the following preferences for three categories: Fashion 30, Athletics 24 and Business 15. Following these frequencies of observation, compute the chi-square test statistic. At the 0.05 level of significance, would you conclude they are similar?
solve for x 50x+ 120 (176-x)= 17340
find x in the equation 2x-4=6
Emma is on a 50 m high bridge and sees two boats anchored below. From her position, boat A has a bearing of 230° and boat B has a bearing of 120°. Emma estimates the angles of depression to be about 38° for boat A and 35° for boat B. How far apart are the boats to the nearest meter?
What is 75 percent less than 60
Find the number of pounds of nails required for 17850 square feet of drywall if each thousand square feet requires 4.5 pounds of nails.
Given a circle 𝑘(𝑆; 𝑟 = 4 𝑐𝑚) and a line |𝐴𝐵| = 2 𝑐𝑚. Determine and construct the set of all centers of circles that touch circle 𝑘 and have radius 𝑟 = |𝐴𝐵|
Identify the slope and y intercept y=11+2/3x
Define excel and why we use it?
Let f(x)=-1/2x+5 evaluate f(-6)