Your sister can get $30 per day for selling clothes at the market. but she has to $60 at first for renting a stand. you can get $20 per day for neighbor rake lawns. after how many days will your sister earn as much as you?

After 6 days

Step-by-step explanation:

Let x represent the number of days after which the my earning and my sister's earning will be same,

∵ sister gets $ 30 per day,

So, her revenue after x days = 30x,

Also, her expenses in renting = $ 60,

Thus her earning = revenue - expenses = 30x - 60

Now, my earning is $ 20 per day,

So, my earning after x days = 20x

⇒ 30x - 60 = 20x

30x - 20x = 60,

10x = 60

⇒ x = 6

Hence, after 6 days my earning and my sister's earning is same.