SOLUTION: Income of a Nurse Sharyn worked as a Registered Nurse last summer. The first week she was there she worked a total of 23 hours at the hospital. She was paid $13.50 an hour for the

Question 418647: Income of a Nurse Sharyn worked as a Registered Nurse last summer. The first week she was there she worked a total of 23 hours at the hospital. She was paid $13.50 an hour for the day shift and $16.50 an hour for the night shift work. She earned $352.50 for her first week of work. How many hours did she work on the day shift? How many hours did she work on the night shift?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!



Hi

worked a total of 23 hours 

Let x and (23-x) represent hours worked for night shift and day shift respectively

Question states***

  $16.50x + $13.50(23-x) = $352.50

Solving for x

     3x = 352.50 - 310.50

     3x = 42

      x = 14hrs worked on night shift.  Day shift 9hrs.  (23-14)

CHECKING our Answer***

  $16.50*14 + $13.50*9 = $352.50 

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