Answer:
3000 = n*240 +s*360
1050 = 90n+120s
On this particular day, there are 5 nurses and 5 support staff working
Step-by-step explanation:
Nurses work 240 minutes per day
Support staff work 360 minutes per day
Let n = number of nurses
Let s = number of support staff
a) 3000 minutes are worked
The total number of minutes worked = the number of minutes worked by a nurse per day times the number of nurses plus the number of minutes worked per day by a support staff person times the number of support staff people
3000 = n*240 +s*360
b) earnings per day = 1050
The total number of dollars earned each day= the wages of a nurse per day times the number of nurses each day plus the wages of a support staff person per day times the number of support staff people working each day
1050 = 90n+120s
c) We have 2 equations and 2 unknowns
3000 = n*240 +s*360
1050 = 90n+120s
Divide each equation by 10
300=24n+36s
105 = 9n+12s
Multiply the second equation by -3
-315 = -27n -36s
Add this to the first equation to eliminate s
-315 = -27n -36s
300=24n+36s
---------------------
-15 = -3n
Divide by -3
-15/-3 = -3n/-3
5=n
There are 5 nurses working that day
Now we need to solve for s
105 = 9n+12s
105 = 9(5) +12s
105 = 45+12s
Subtract 45 from each side
105-45 = 45-45 +12s
60 = 12s
Divide by 12
60/12 = 12s/12
5 =s
There are 5 support staff working.
On this particular day, there are 5 nurses and 5 support staff working
