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?

We have 9 + 2 = 11 equal parts and the nurses are 9 of them.....so.....

(9/11) (77) = (77/11) (9) = 7 * 9 = 63 nurses