A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total 35,557 , and the variable costs will be 12.75 per book. With the other method, the one-time fixed costs will total 15,007 , and the variable costs will be 20.25 per book. For how many books produced will the costs from the two methods be the same?

Question

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total 35,557 , and the variable costs will be 12.75 per book. With the other method, the one-time fixed costs will total 15,007  , and the variable costs will be 20.25 per book. For how many books produced will the costs from the two methods be the same?

anonymous · Answer

let the no of books be n
then we have 
35557+12.75n = 15007 +20.25n now just solve the linear equation in n