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)

Mathematics

1 answer:

Tomtit [17]3 years ago

8 0

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

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