Camden is working two summer jobs, making $10 per hour babysitting and making $18 per hour lifeguarding. In a given week, he can work no more than 14 total hours and must earn no less than $180. If Camden worked 9 hours lifeguarding, determine the minimum number of whole hours babysitting that he must work to meet his requirements. If there are no possible solutions, submit an empty answer.

2 hours.

Step-by-step explanation:

We know that lifeguarding pays 18 per hour and babysitting pays 10 per hour.

We also know that he can't work more than 14 hours and has to earn a minimum of $180. Let's lay the facts out plainly

Lifeguarding: $18/h

Babysitting: $10/h

H 14

Weekly Pay $180

We know he works 9 hours lifeguarding. If he works for 9 hours at $18 an hour he will be paid $162.

9 * 18 = 162

If he already has that much money he needs to earn $18 more to meet his $180 requirement

180 - 162 = 18

If he needs 18 dollars and can only babysit, he has to work 2 hours.

18/10 = 1.8

Because it states the number of whole hours needed we will round up to to.

Let's check the requirements one last time

Total hours: H 14

Total hours: 9 + 2 = 11 This one is good!

Weekly Pay: $180

9(18) + 2(10) = 182

162 + 20 = 182

This one is good as well.

He has to work 2 whole hours babysitting.

50.6

step-by-step explanation: