This is my question.....

Question

Mariam is working two summer jobs, making $17 per hour lifeguarding and making $8 per hour washing cars. In a given week, she can work at most 16 total hours and must earn at least $200. If Mariam worked 14 hours washing cars, determine all possible values for the number of whole hours lifeguarding that she must work to meet her requirements.

Answer 1

It is very difficult to accomplish ....because:

She has a problem...a limit of 16 hrs!

With 14 hrs washing cars, She earns $ 112.

And with 2 hrs as lifeguarding, Mariam ears $ 34.

Total $ 146 ....She fail the requirements of earnings at least $200!

Answer 2

14 hours washing cars earns Mariam $112.

She need $88 more to meet her requirement of making at least $200, but she can only work 2 more hours (because her other requirement that she not work more than 16 total hours).

She can only make $34 from 2 hours lifeguarding.

If she spends 14 hours washing cars, Mariam can't meet her requirements.