What is the answer to this question? someone

Her expenses are a fixed expense of $4500 and a weekly expense of $200.
Let's call the unknown number of weeks w.

In w weeks, the weekly expenses will by 200w.
The total expense is

200w + 4500

In a week, when earns $550. In w weeks, she earns 550w.

Set the expenses equal to the earnings and solve for w.

550w = 200w + 4500

Subtract 200w from both sides.

350w = 4500

w = 12.86

It takes her 12.86 weeks to break even.
If she works 13 weeks, she begins to make a profit.