A jewelry company pays $100 for advertising and $5 per necklace they create. Each necklace
sells for $25. How many necklaces must the company sell in order for their expenses to equal
their revenue?
a) 125
b) 5
c) 150
d) 7
Let x be the number of necklaces the company must sell.
The revenue from selling x necklaces is 25 * x.
The expenses for creating x necklaces is 5 * x + 100.
Setting the revenue equal to the expenses, we get 25 * x = 5 * x + 100.
Combining like terms, we get 20 * x = 100.
Dividing both sides by 20, we get x = 5.
Therefore, the company must sell 5 necklaces in order for their expenses to equal their revenue.
The answer is b) 5.
To determine the number of necklaces the company must sell in order for their expenses to equal their revenue, we need to set up an equation.
Let's assume the number of necklaces sold is 'x'.
The expenses for advertising is a fixed cost of $100 and the cost per necklace is $5. Therefore, the total expenses can be calculated as:
Total expenses = advertising cost + (cost per necklace * number of necklaces)
Total expenses = $100 + ($5 * x)
The revenue can be calculated by multiplying the selling price per necklace by the number of necklaces sold:
Total revenue = selling price per necklace * number of necklaces
Total revenue = $25 * x
The company wants their expenses to equal their revenue, so:
Total expenses = Total revenue
$100 + ($5 * x) = $25 * x
Now, we can solve this equation for 'x' (the number of necklaces sold):
$100 + ($5 * x) = $25 * x
Subtract $5x from both sides:
$100 = $25x - $5x
Combine like terms:
$100 = $20x
Divide both sides by $20:
$100 / $20 = x
Simplify:
5 = x
Therefore, the company must sell 5 necklaces in order for their expenses to equal their revenue.
The correct answer is b) 5.
To find out how many necklaces the company must sell in order for their expenses to equal their revenue, we need to set up an equation.
Let's assume the number of necklaces sold is represented by 'x'.
The company's expenses would include the cost for advertising and the cost per necklace, which is $100 + $5x.
The revenue would be the selling price per necklace multiplied by the number of necklaces sold, which is $25 * x.
Given that the expenses should equal the revenue, we can set up the equation:
$100 + $5x = $25x
Now, we need to solve this equation for 'x'.
First, let's simplify the equation by subtracting $5x from both sides:
$100 = $20x
Next, divide both sides by $20 to isolate 'x':
$x = $100 / $20
Simplifying this equation, we get:
x = 5
Therefore, the company must sell 5 necklaces in order for their expenses to equal their revenue.
So, the answer is:
b) 5