Question

The literature club is printing a storybook to raise money. The Print Shop A charges $3 for each book, and $45 to create the film, and Print Shop B charges $2 dollars per book and $50 to create the film. How many books have to be printed in order for the cost of both shops to be the same?

Answer 1

In order for the cost of both Print Shop A and Print Shop B to be the same, 5 books have to be printed.

Step-by-step explanation:

In order for the cost of both Print Shop A and Print Shop B to be the same, the cost per book must be equal. Let's assume the number of books to be printed is x. For Print Shop A, the cost per book is $3 and the film cost is $45. So the total cost for Print Shop A is 3x + 45. For Print Shop B, the cost per book is $2 and the film cost is $50. So the total cost for Print Shop B is 2x + 50. To find the number of books that need to be printed in order for the cost to be the same, we can set up the equation: 3x + 45 = 2x + 50. Solving for x, we get x = 5. Therefore, in order for the cost of both shops to be the same, 5 books have to be printed.