BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

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

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 2898
Joined: Thu Sep 07, 2017 2:49 pm
Thanked: 6 times
Followed by:5 members

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

by Vincen » Fri Sep 22, 2017 9:51 am
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?
Top
Source: — Data Sufficiency |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 am
Location: Grand Central / New York
Thanked: 470 times
Followed by:34 members

by Jay@ManhattanReview » 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!

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.
Top
Post new topic Post Reply
• Page 1 of 1