Question

Please help with parts a,b, and c

Answer 1

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