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 derivative of the function f(x) = 3x^2 + sin(x) - 5?
+
What is the dot product of vector A = (-2, 3, 4) and vector B = (1, -2, 5)?
+
What is the solution set for the inequality y > 2x + 3 on a coordinate plane?
+
New questions in Mathematics
How do you think the company has increased or decreased its income?
a bank finds that the balances in its savings accounts are normally distributed with a mean of $500 and a standard deviation off of $40. What is the probability that a randomly selected account has a balance of more than $400?
[(36,000,000)(0.000003)^2]divided(0.00000006)
30. In 8 s, a car that starts from rest and moves with uniformly accelerated motion has achieved a speed of 72m/s. How much space must it travel to reach a speed of 90m/s? Sunshine: 450 m
A company that manufactures personal hygiene items purchases machinery for $220,000 that is considered to last 7 years; it is estimated that at the end of the period it will have a salvage value of $1000. Find: to. The depreciation rate. b. The book value at the end of the sixth year.
I need to know what 20% or £3292.75
The thermal representation f(x) = 20 times 0.8 to the power of x is known from an exponential function f. Specify the intersection point with the y-axis
Three squares have a total area of 35.25 𝑐𝑚2 . The larger square has twice the side-length of the middle-sized square. The smaller square has its side length exactly 0.5 cm smaller than the middle-sixed square. Find the side lengths of each of the three squares.
form a key for your lock containing the numbers 2 2 5 8 How many different keys can you form?
Calculate the minimum size of a simple random sample assuming a sampling error of 5% assuming that the population size is 100 elements
factor the polynomial completely over the set of complex numbers b(x)=x^4-2x^3-17x^2+4x+30
94 divided by 8.75
2x-5-x+2=5x-11
00 piece jigsaw puzzle. the completed puzzle is 10x10. each piech connects to at least 2 other pieces. i plan to assemble by taking pieces out of box one by one. if i've already taken out 2 pieces that dont directly connect, what is the minimum number of additional pieces that i need to draw to in order to guarentee that the original 2 pieces connect?
Find I (Intrest) using simple interest formula of 17700 @ 15% for 4 years
0<x<2π aralığındaki f(x)=x÷2 fonksiyonunun 0 < x < 4π için grafiğini çiziniz ve 0<x<2n için Fourier seri dönüşümünü gerçekleştiriniz.
a coffee shop has 9 types of creamer and 11 types of sweetener. In how any ways can a person make their coffee?
the length of the fenced in area is to be 5 ft greater than the width and the total amount of fencing to be used is 89 ft find the width and length
A small box measures 10 in. by 4 in. by 6 in. high. Find the volume of the box.
To apply a diagnostic test, in how many ways can 14 students be chosen out of 25? if the order does not matter