#19. You are the dean of ABC University's highly rated nursing program. Along with its other health care systems, two- fifths of the University's students choose the nursing program. Only 1/5 of the nursing students complete the course and pass the boards. If eighteen hundred students enroll in the University's programs, how many certified nurses should the program expect?

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A
100

B
144

C
220

D
300

E
360

1 answer

To determine how many certified nurses the program should expect, we can follow these steps:

  1. Calculate the number of students in the nursing program:

    • \( \text{Total students} = 1800 \)
    • \( \text{Students in nursing program} = \frac{2}{5} \times 1800 \)

    \[ \text{Students in nursing program} = \frac{2}{5} \times 1800 = 720 \]

  2. Calculate how many of those students complete the course and pass the boards:

    • Only \( \frac{1}{5} \) of the nursing students complete the course.
    • \( \text{Certified nurses} = \frac{1}{5} \times 720 \)

    \[ \text{Certified nurses} = \frac{1}{5} \times 720 = 144 \]

Thus, the number of certified nurses the program should expect is 144.

The correct answer is B.