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If the ratio of the number of teachers to the number. . .

This topic has 1 expert reply and 0 member replies

If the ratio of the number of teachers to the number. . .

Post Fri Sep 22, 2017 9:51 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    If the ratio of the number of teachers to the number of students is the same in School District M and School District P, what is the ratio of the number of students in School District M to the number of students in School District P ?

    (1) There are 10,000 more students in School District M than there are in School District P.
    (2) The ratio of the number of teachers to the number of students in School District M is 1 to 20.

    The OA is E.

    What are the formulas I should set to solve this DS question?

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    Post Sun Sep 24, 2017 9:45 pm
    Vincen wrote:
    If the ratio of the number of teachers to the number of students is the same in School District M and School District P, what is the ratio of the number of students in School District M to the number of students in School District P ?

    (1) There are 10,000 more students in School District M than there are in School District P.
    (2) The ratio of the number of teachers to the number of students in School District M is 1 to 20.

    The OA is E.

    What are the formulas I should set to solve this DS question?
    Say the number of teachers in School M is x, the number of teachers in School P is y, the number of students in School M is m, and the number of students in School P is n.

    Thus, x / m = y / n

    => m/n = x/y. We have to find out the value of m/n.

    Statement 1: There are 10,000 more students in School District M than there are in School District P.

    => m = 10000 + n ---(1)

    Clearly insufficient.

    Statement 2: The ratio of the number of teachers to the number of students in School District M is 1 to 20.

    x/m = 1/20 ---(2)

    Clearly insufficient.

    Statement 1 & 2:

    Since in equation (2), we have a variable x that cannot be omitted with the help of equation (1), we cannot get the value of m/n. Insufficient.

    The correct answer: E

    Hope this helps!

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