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

[M7MBA]

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 the option E.

Can any expert help me here? I am confused. I don't know how could I solve this DS question.

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Hi M7MBA,

We're told that the ratio of the number of teachers to the number of students is the SAME in School District M and School District P. We're asked for the ratio of the number of STUDENTS in School District M to the number of STUDENTS in School District P. This question can be solved by TESTing VALUES.

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

IF....
Students in M = 20,000
Students in P = 10,000
Then the ratio is 20,000:10,000 = 2:1

IF....
Students in M = 15,000
Students in P = 5,000
Then the ratio is 15,000:5,000 = 3:1
Fact 1 is INSUFFICIENT.

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

Fact 2 tells us nothing about the number of teachers or students in District P.
Fact 2 is INSUFFICIENT.

Combined, we already have two TESTs that fit both Facts:
IF....
Teachers in M = 1,000
Students in M = 20,000
Students in P = 10,000
Then the ratio is 20,000:10,000 = 2:1

IF....
Teachers in M = 750
Students in M = 15,000
Students in P = 5,000
Then the ratio is 15,000:5,000 = 3:1
Combined, INSUFFICIENT

Final Answer: E

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Rich