A High School is paying $13200 for their yearbooks the fee is $25 per book. If they sell the books for $40 each, how many will they have to sell to break even?

Question

This word problem is to be solved with two multi-step equations, and I am having troubles with writing two equations for this word problem. Please help! 

Answer 1

First find profit per book sold:

p(b) = 40 - 25

 

Profit per book sold: 40-25= $15 profit per sale

Profit as a function of books sold b:

p(b) = 15b

 

To break even we need profit to equal cost ...

p(b) = c(b)

c(b) = 13200

 

15b = 13200

b = 13200/15 = 880 books