Harley had $500 is his account at the beginning of the year. He spends $20 each week on food, clothing, and movie tickets. He wants to have more than $100 at the end of the summer to make sure he has enough money to purchase some new shoes before school starts. How many weeks, w, can Harley withdraw money from his savings account and still have more than $100 to buy the new shoes at the end of the summer?

19 weeks

Step-by-step explanation:

Harley has an initial amount in his account = $500

He spends the amount each week = $20

He wants to have more than $100 in his account at the end of summer to purchase some new shoes.

We assume that he can withdraw the money from his account for 'w' weeks,

Inequality representing this situation will be,

(500 - 20w) > 100

Further solving this inequality,

-20w > 100 - 500

-20w > -400

w < 20

Therefore, Harley can withdraw the money for less than 20 weeks or 19 weeks.