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

Redeem

Of the 430 travelers on a plane, 220 travelers are fluent in

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 2499
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members

Of the 430 travelers on a plane, 220 travelers are fluent in

by swerve » Sun Nov 03, 2019 12:00 pm
Of the 430 travelers on a plane, 220 travelers are fluent in the French language. How many of the travelers are fluent in the German language?

1) The number of travelers who are fluent in both French and German languages is twice the number of travelers who are fluent in neither French nor German language.
2) 25 travelers are not fluent in either German or French language.

The OA is C

Source: Veritas Prep
Top
Source: — Data Sufficiency |
User avatar
Junior | Next Rank: 30 Posts
Posts: 10
Joined: Sun Nov 10, 2019 7:32 am

by joao_cardoso123 » Sun Nov 10, 2019 9:16 am
430 travelers can be divided in 4 groups:
F (fluent only in French)
G (fluent only in German)
FG (fluent in both)
N (fluent in none)
we know that F+FG=220
we want to know G+FG

(1) tells us that FG=2*N but this is not enough to find a solution because we have 4 unknowns and 3 equations
430=F+G+FG+N
F+FG=220
FG=2*N

(2) tells us that N=25; this is not enought because again we have 4 unknowns and 3 equations
430=F+G+FG+N
F+FG=220
N=25

(1) and (2) is enough because we have 4 equations to find out 4 unknowns
430=F+G+FG+N
F+FG=220
FG=2*N
N=25
we can rewritte 430=F+G+FG+N as 430 =220+G+25, which gives us G=85
from FG=2*N and N=25 we know that FG=50
then we know that G+FG=135
Top
Post new topic Post Reply
• Page 1 of 1