Question

Mike and Kim invest $18,000 in equipment to print yearbooks for schools. Each yearbook costs $5 to print and sells for $30. How many yearbooks must they sell before their business breaks even?

Answer 1

Answer:

They must sell 720 books.

Step-by-step explanation:

Let x be the number of year books that they must sell before their business breaks even.

Given,

The cost price of each year book = $ 5  

The cost price of x books = 5x dollars,

Also, the investment = $ 18000,

Thus, the total cost of the x books = ( 5x + 18000 ) dollars

Now, the selling price of the book = $ 30,

So, the total revenue = The total selling price of x books = 30x

In the case of break even,

Total revenue = Total cost

⇒  30x = 5x + 18000

Subtracting 5x on both sides,

30x - 5x = 18000

⇒ 25x = 18000

Divide both sides by 25,

x =  720

Hence, they must sell 720 yearly books before their business breaks even.

Answer 2

This is a simple equation since they get 30$ and it costs  5$ that means they make 25$ each yearbook. Then you divide 18,000 by 25 and get 720

They have to sell 720 yearbooks :) hope this helped