A hospital employs a total of 77 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?

(Use a system of equations)

9 x − n u rsers y − d oc t ors { 9 x + y = 77 y = 2 x ​ s u s t i t u t i o n m e t h o d 9 x + 2 x = 77 11 x = 77 ∣ d i v i d e b y 11 x = 7 9 x = 9 ∗ 7 = 63 2 x = 2 ∗ 7 = 14 T h ere a re 63 n u rsers an d 14 d oc t ors .

Answered by luana | 2024-06-24

There are 63 nurses and 14 doctors employed at the hospital. The solution was found by setting up a system of equations based on the total number of staff and their ratio. Using substitution and solving the equations provided the answer.
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Answered by luana | 2024-10-01