# Josephine started a business selling cosmetics. She spent $4500 to obtain her merchandise, and it costs her S200 per week for general expenses. She earns $550 per week in sales. What is the minimum number of weeks it will take to make a profit?

##### 1 Answer

Nov 29, 2016

#### Answer:

It will be a minimum of 13 weeks before Josephine makes a profit.

#### Explanation:

To solve this problem we need to determine how many weeks (let's call this

We can represent her weekly sales over

And we can represent her up front and weekly costs over

Now, we need to know when:

Solving for