SOLUTION: A girl worked last summer. The first week she was there, she worked a total of 23 hours in the office. She was paid $ 12.50 an hour for day shift and $ 18.50 an hour for night sh

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A girl worked last summer. The first week she was there, she worked a total of 23 hours in the office. She was paid $ 12.50 an hour for day shift and $ 18.50 an hour for night sh      Log On


   

Question 1041721: A girl worked last summer. The first week she was there, she worked a total of 23 hours in the office. She was paid $ 12.50 an hour for day shift and $ 18.50 an hour for night shift work. She earned $ 371.50 for her first week of work. How many hours did she spend on the day shift? How many hours did she spend on the night shift?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let X and Y be the number of hours on each shift.
X%2BY=23
12.50X%2B18.50Y=371.50
Multiply eq. 1 by 12.50 and subtract from eq. 2,
12.50X%2B18.50Y-12.50X-12.50Y=371.50-287.50
6Y=84
Y=14
So then,
X%2B14=23
X=9