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?
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
If the ratio of the number of teachers to the number. . .
This topic has expert replies
GMAT/MBA Expert
-
Jay@ManhattanReview
- GMAT Instructor
- Posts: 3008
- Joined: Mon Aug 22, 2016 6:19 am
- Location: Grand Central / New York
- Thanked: 470 times
- Followed by:34 members
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.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?
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!
Download free ebook: Manhattan Review GMAT Quantitative Question Bank Guide
-Jay
_________________
Manhattan Review GMAT Prep
Locations: New York | Hyderabad | Mexico City | Toronto | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
