Question

Riley is working two summer jobs, making $7 per hour walking dogs and making $25 per hour tutoring. In a given week, she can work no more than 18 total hours and must earn no less than $270. If Riley worked 4 hours walking dogs, determine the maximum number of whole hours tutoring that she can work and still meet her requirements. If there are no possible solutions, submit an empty answer.

Answer 1

14

Explanation:

The values of t that make BOTH inequalies true are:

{10, 11, 12, 13, 14}

Therefore the maximum number of hours tutoring that Riley must work is 14.