Question

London is working two summer jobs, making $24 per hour tutoring and making $10 per hour landscaping. In a given week, she can work a maximum of 15 total hours and must earn a minimum of $220. If London worked 7 hours tutoring, determine the minimum number of whole hours landscaping that she must work to meet her requirements.

Answer 1

5 hours

Explanation:

Let x represent the number of hours London works landscaping.

24x + 10(15 - x) = 220

24x + 150 - 10x = 220

14x = 70

x = 5

London must work a minimum of 5 hours of landscaping to meet her requirements.

Answer 2

5 hours

Explanation:

Let x represent the number of hours London works landscaping.

We can set up the following system of equations to represent the information given in the problem:

24x + 10(15 - x) = 220

24x + 150 - 10x = 220

14x = 70

x = 5

London must work a minimum of 5 hours landscaping to meet her requirements.