Question

A hospital employs a total of 77n nurses and doctors. The ratio of nurses to doctors is 9:2. How many nurses are employed at the hospital? How many doctors are employed at the hospital.

Answer 1

number of nurses employed at the hospital is 9x = 9 * (7n/9) = 7n, and the number of doctors is 2x = 2 * (7n/9) = (14n/9).

Explanation:

Given the ratio of nurses to doctors is 9:2, we can express this as:

Number of nurses (9x) : Number of doctors (2x)

Now, you've mentioned that the total number of nurses and doctors employed at the hospital is 77n. So, we can set up an equation:

9x + 2x = 77n

Combine like terms:

11x = 77n

Now, to find the number of nurses (9x) and the number of doctors (2x), we need to divide both sides by 11:

9x = (77n) / 11

9x = 7n

Now, we can solve for x:

x = (7n) / 9

So, the number of nurses employed at the hospital is 9x = 9 * (7n/9) = 7n, and the number of doctors is 2x = 2 * (7n/9) = (14n/9).

In summary:

- Number of nurses = 7n

- Number of doctors = (14n/9)

solved by MG