Question

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)

Answer 1

$9x-\ nursers\\ y-\ doctors\\\\ \left \{ {{y=2x} \atop {9x+y=77}} \right. \\ sustitution\ method\\\\ 9x+2x=77\\ 11x=77\ \ \ | divide\ by\ 11\\ x=7\\\\ 9x=9*7=63\\ 2x=2*7=14\\\\ There\ are\ 63\ nursers\ and \ 14\ doctors.$