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)
Question: Graph the logarithmic function y = log(x) and determine the x-coordinate of the point where the graph intersects the x-axis.
+
What is the lateral surface area of a cylinder with radius r and height h?
+
Math Question: What are the key characteristics of a quadratic function's graph?
+
New questions in Mathematics
A college believes that 22% of applicants to that school have parents who have remarried. How large a sample is needed to estimate the true proportion of students who have parents who have remarried to within 5 percentage points?
Jose bought 3/4 of oil and his sister bought 6/8, which of the two bought more oil?
A drawer contains three pairs of white socks, five pairs of black socks and two pairs of red socks. Caden randomly selects two pairs of socks on his way to the gym. What is the probability that both pairs of socks are black?
The profit G of the company CHUNCHES SA is given by G(x) = 3×(40 – ×), where × is the quantity of items sold. Find the maximum profit.
Determine the equations of the lines that pass through the following points P1 (2;-1) and p2 (4;-1)
Equivalent expression of the sequence (3n-4)-(n-2)
(2x+5)^3+(x-3)(x+3)
3(2•1+3)4
solve for x 50x+ 120 (176-x)= 17340
Suppose you have a sample of 100 values from a population with mean mu = 500 and standard deviation sigma = 80. Given that P(z < −1.25) = 0.10565 and P(z < 1.25) = 0.89435, the probability that the sample mean is in the interval (490, 510) is: A)78.87% B)89.44% C)10.57% D)68.27%
Two business partners have a bank balance of $17,942.00. After the first year their interest brings their balance to $18,928.91. What rate of interest is earned?
Use a pattern to prove that (-2)-(-3)=1
If a|-7 and a|9, then a|-63
effectiveness of fiscal and monetary policy under closed and open economies
16.What payment (deposit) made at the end of each month will accumulate to $10473 in 13 years at 7.9% compounded monthly? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
We plan to test whether the mean mRNA expression level differs between two strains of yeast, for each of 8,000 genes. We will measure the expression levels of each gene, in n samples of strain 1 and m samples of strain 2. We plan to compute a P-value for each gene, using an unpaired two-sample t-test for each gene (the particular type of test does not matter). a) What are the null hypotheses in these tests (in words)? [2] b) If, in fact, the two strains are identical, how many of these tests do we expect to produce a P-value exceeding 1/4? [2]
2x-5-x+2=5x-11
Paola went on vacation for 15 days if it rained 20% of the days. How many days did it rain?
The company produces a product with a variable cost of $90 per unit. With fixed costs of $150,000 and a selling price of $1,200 per item, how many units must be sold to achieve a profit of $400,000?
Solve the system of equations by the addition method. 0.01x-0.08y=-0.1 0.2x+0.6y=0.2