Sam and David invest $13,500 in equipment to print books. Each book costs $7.50 to print and sells for $21.00. How many books must they sell before their business breaks even?(1 point)
Responses
1800 books
1000 books
2000 books
900 books
To break even, the total cost of printing must equal the total revenue from book sales.
The cost to print each book is $7.50 and the revenue from selling each book is $21.00.
Let's set up the equation:
Number of books * cost to print each book = Number of books * revenue from selling each book
Let's represent the number of books as "x":
$7.50 * x = $21.00 * x
Now we can solve for "x":
$7.50x = $21.00x
We can divide both sides of the equation by $7.50 to isolate "x":
x = $21.00 / $7.50
x = 2.8
Since we can't sell a fractional number of books, we need to round up to the nearest whole number.
Therefore, Sam and David must sell at least 3 books before their business breaks even.
the correct answer
To break even, the total cost of printing must equal the total revenue from book sales.
The cost to print each book is $7.50 and the revenue from selling each book is $21.00.
Let's represent the number of books they need to sell as "x":
Total cost = Total revenue
Cost to print each book * Number of books = Selling price of each book * Number of books
$7.50 * x = $21.00 * x
Now we can solve for "x":
7.50x = 21.00x
Subtract 7.50x from both sides:
7.50x - 7.50x = 21.00x - 7.50x
0 = 13.50x
Divide both sides by 13.50:
0/13.50 = 13.50x/13.50
0 = x
Since x represents the number of books they need to sell in order to break even, the correct answer is 0 books. However, this does not seem possible or feasible in reality. It's likely that there was an error in the equation or information provided.