GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
The population of a village is 6400. If the number of males increased
[#permalink]
05 Apr 2021, 07:35
05 Apr 2021, 07:35
Expert Reply
00:00
Question Stats:
88% (01:49) correct
11% (02:53) wrong based on 26 sessions
Hide Show timer Statistics
The population of a village is 6400. If the number of males increased by 40% and that of females increased by 30%, the population becomes 8380. What is the population of females in the town?
(A) 7000
(B) 6000
(C) 6400
(D) 5800
(E) 5600
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) 7000
(B) 6000
(C) 6400
(D) 5800
(E) 5600
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: The population of a village is 6400. If the number of males increased
[#permalink]
05 Apr 2021, 07:46
05 Apr 2021, 07:46
2
Carcass wrote:
The population of a village is 6400. If the number of males increased by 40% and that of females increased by 30%, the population becomes 8380. What is the population of females in the town?
(A) 7000
(B) 6000
(C) 6400
(D) 5800
(E) 5600
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) 7000
(B) 6000
(C) 6400
(D) 5800
(E) 5600
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
The population of a village is 6400.
Let M = the ORIGINAL number of males in the village
Let F= the ORIGINAL number of females in the village
So, we can write: M + F = 6400
If the number of males increased by 40% and that of females increased by 30%, the population becomes 8380.
So, 1.4M = the RESULTING number of males
And 1.3F = the RESULTING number of females
So, we can write: 1.4M + 1.3F = 8380
What is the population of females in the town?
We now have the following system of equations:
M + F = 6400
1.4M + 1.3F = 8380
Take the top equation, and multiply both sides by 1.4 to get the following equivalent equation:
1.4M + 1.4F = 8960
1.4M + 1.3F = 8380
Now subtract at the bottom equation from the top equation to get: 0.1F = 580
Solve: F = 580/0.1 = 5800
Answer: D
Re: The population of a village is 6400. If the number of males increased
[#permalink]
27 Apr 2024, 13:50
27 Apr 2024, 13:50
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
