Question

Lily is working two summer jobs, making $18 per hour lifeguarding and making $10 per hour washing cars. In a given week, she can work no more than 19 total hours and must earn a minimum of $270. If Lily worked 14 hours lifeguarding, determine all possible values for the number of whole hours washing cars that she must work to meet her requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

Answer 1

2,3,4,5 hours

Explanation:

Now according to given data

Life guard job = $18/hr

Now she worked for 14 hours

Total earning for life guard job = $252

Remaining money to earn = 270 -252

= $18

Now she makes $10 for car washing, so if she works for at least two hours she can meet her requirements.

Now remaining hours she is allowed to work are = 19-14 = 15 hours

So she can work fro 2,3,4,5 hours to meet her requirements.