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?

1 Answer
Jan 12, 2017

Answer:

14 doctors

Explanation:

A chart is the easiest way to understand this question.

#color(white)(aaaaaaaa)#ratios#color(white)(aaa)#actual value
nurses#color(white)(aaia)#9#color(white)(aaaaaaa)#?
doctors#color(white)(aaa)#2#color(white)(aaaaiiaa)#?
Total#color(white)(aaaaa)#11#color(white)(aaaaaaa)#77

Since in the row labeled "Total" to move from column 1 to column 2 we would multiply the 11 by 7, so for each of the other rows.

Multiply the 9 by 7 to get 63 nurses, and multiply the 2 by 7 to get 14 doctors. Notice the total of nurses and doctors is #63+14=77#.
Therefore there are 14 doctors.