Question

At the local hospital there is 1 nurse for every 10 beds and 2 nurse assistants for each nurse. How many nurse assistants are needed for the 300 bed hospital?

Answer 1

Data:

nurse: N

nurse assistants: A

beds: B

1N for 10 beds

2A for each N

As in the hospital there are 300beds you divide this total number of beds into 10 to find the number of N in the hospital:

`\begin{gathered} (300)/(10)=30 \\ \\ \end{gathered}`

and then that result multiply by 2 as this is the number of nurse asistants for each N:

`30\cdot2=60`Then, there are needed 60 nurse assistants for the 300 bed hospitalUsing dimensional analysis:

nurse: N

nurse assistants: A

beds: B

1N for 10 beds

2A for each N

300B A=?

`300B\cdot(1N)/(10B)\cdot(2A)/(1N)=60A`