We know that Daniel is working two summer jobs, making $8 per hour babysitting and making $15 per hour lifeguarding. He can work a maximum of 18 total hours and must earn no less than $200.
We need to determine the minimum number of whole hours of lifeguarding that he must work to meet his requirements.
He worked 3 hours babysitting and he can work a total of 18 hours a week and earn no less than $200. First, we must subtract:
18 - 3 = 15
Daniel can work 15 hours lifeguarding but we still need to figure out how much money he will make. He makes $15 per hour lifeguarding so we will multiply:
15 x 18 = 270.
Since Daniel needs to make $200, he cannot work for 18 hours that is too much money. What we can do is multiply smaller numbers until we get a minimum of $200.
15 x 17 = 255
15 x 16 = 240
15 x 15 = 225
15 x 14 = 210
15 x 13 = 195
Daniel can make no less than $200 so our answer should be 14 hours but we must check our work first.
To check our work, we divide:
200 ÷ 15 = 13.3
The answer cannot be 13 though because it is too small therefore, the answer is 14 hours.
If Daniel life guards for 14 hours he will make $210
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