Last visit was: 25 Nov 2024, 01:13 It is currently 25 Nov 2024, 01:13
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

In a town, 80% of the men are registered voters

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

avatar
sameer93
Intern
Intern
Joined: 06 Oct 2017
Posts: 9
Own Kudos [?]: 13 [4]
Given Kudos: 0
Send PM
In a town, 80% of the men are registered voters [#permalink] New post   26 Dec 2017, 07:01
4
Bookmarks
00:00

Question Stats:

50% (02:19) correct 50% (02:25) wrong based on 30 sessions

Hide Show timer Statistics

In a town, 80% of the men are registered voters and 66% of the women are registered voters. if 78% of the total population is a registered voter, what fraction of the population is Men?

enter your value

Show: :: OA
\(\frac{86}{100}\)
Most Helpful Expert Reply
User avatar
sandy
Retired Moderator
Joined: 07 Jun 2014
Posts: 4813
Own Kudos [?]: 11197 [7]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
Re: In a town, 80% of the men are registered voters [#permalink] New post   26 Dec 2017, 11:03
5
Expert Reply
2
Bookmarks
sameer93 wrote:
In a town, 80% of the men are registered voters and 66% of the women are registered voters. if 78% of the total population is a registered voter, what fraction of the population is Men?


Let assume there are 100 people in town. Let \(x\) be the men and women \(100 - x\).

Total voters = 78% of 100 = 78.

Number of men voters = \(0.8 \times x\)
Number of women voters = \(0.66 \times (100 - x)= 66 - 0.66x\)

Total voters men and women = 0.14x + 66 = 78.

x= 12/ 0.14 = 86 approx.

Hence number of men is 86 and women is 14. Hence fraction of men in population is \(\frac{86}{100}\).
General Discussion
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30021
Own Kudos [?]: 36388 [0]
Given Kudos: 25928
Send PM
Re: In a town, 80% of the men are registered voters [#permalink] New post   26 Dec 2017, 07:02
Expert Reply
This is a numeric entry question. Why the OA is A??

Please, review it.

Thank you
avatar
sameer93
Intern
Intern
Joined: 06 Oct 2017
Posts: 9
Own Kudos [?]: 13 [1]
Given Kudos: 0
Send PM
Re: In a town, 80% of the men are registered voters [#permalink] New post   26 Dec 2017, 07:12
1
Carcass wrote:
This is a numeric entry question. Why the OA is A??

Please, review it.

Thank you


The fraction of total that is men is 6/7 (Make a double matrix and solve it accordingly).
this is the answer I didnt have a file to upload
avatar
Peter
Manager
Manager
Joined: 27 Sep 2017
Posts: 110
Own Kudos [?]: 82 [0]
Given Kudos: 0
Send PM
Re: In a town, 80% of the men are registered voters [#permalink] New post   27 Dec 2017, 04:22
sandy wrote:
sameer93 wrote:
In a town, 80% of the men are registered voters and 66% of the women are registered voters. if 78% of the total population is a registered voter, what fraction of the population is Men?


Let assume there are 100 people in town. Let \(x\) be the men and women \(100 - x\).

Total voters = 78% of 100 = 78.

Number of men voters = \(0.8 \times x\)
Number of women voters = \(0.66 \times (100 - x)= 66 - 0.66x\)

Total voters men and women = 0.14x + 66 = 78.

x= 12/ 0.14 = 86 approx.

Hence number of men is 86 and women is 14. Hence fraction of men in population is \(\frac{86}{100}\).


the stem doesn't indicate approximation, and the answer is 6/7, please check it out.
avatar
sameer93
Intern
Intern
Joined: 06 Oct 2017
Posts: 9
Own Kudos [?]: 13 [0]
Given Kudos: 0
Send PM
Re: In a town, 80% of the men are registered voters [#permalink] New post   27 Dec 2017, 04:35
Peter wrote:
sandy wrote:
sameer93 wrote:
In a town, 80% of the men are registered voters and 66% of the women are registered voters. if 78% of the total population is a registered voter, what fraction of the population is Men?


Let assume there are 100 people in town. Let \(x\) be the men and women \(100 - x\).

Total voters = 78% of 100 = 78.

Number of men voters = \(0.8 \times x\)
Number of women voters = \(0.66 \times (100 - x)= 66 - 0.66x\)

Total voters men and women = 0.14x + 66 = 78.

x= 12/ 0.14 = 86 approx.

Hence number of men is 86 and women is 14. Hence fraction of men in population is \(\frac{86}{100}\).


the stem doesn't indicate approximation, and the answer is 6/7, please check it out.




6/7 is actually = 86/100. So i guess sandy's answer is right.
avatar
sameer93
Intern
Intern
Joined: 06 Oct 2017
Posts: 9
Own Kudos [?]: 13 [0]
Given Kudos: 0
Send PM
Re: In a town, 80% of the men are registered voters [#permalink] New post   27 Dec 2017, 04:35
sandy wrote:
sameer93 wrote:
In a town, 80% of the men are registered voters and 66% of the women are registered voters. if 78% of the total population is a registered voter, what fraction of the population is Men?


Let assume there are 100 people in town. Let \(x\) be the men and women \(100 - x\).

Total voters = 78% of 100 = 78.

Number of men voters = \(0.8 \times x\)
Number of women voters = \(0.66 \times (100 - x)= 66 - 0.66x\)

Total voters men and women = 0.14x + 66 = 78.

x= 12/ 0.14 = 86 approx.

Hence number of men is 86 and women is 14. Hence fraction of men in population is \(\frac{86}{100}\).



thank you!
avatar
Peter
Manager
Manager
Joined: 27 Sep 2017
Posts: 110
Own Kudos [?]: 82 [0]
Given Kudos: 0
Send PM
Re: In a town, 80% of the men are registered voters [#permalink] New post   27 Dec 2017, 05:24
1
sameer93 wrote:
sandy wrote:
sameer93 wrote:
In a town, 80% of the men are registered voters and 66% of the women are registered voters. if 78% of the total population is a registered voter, what fraction of the population is Men?


Let assume there are 100 people in town. Let \(x\) be the men and women \(100 - x\).

Total voters = 78% of 100 = 78.

Number of men voters = \(0.8 \times x\)
Number of women voters = \(0.66 \times (100 - x)= 66 - 0.66x\)

Total voters men and women = 0.14x + 66 = 78.

x= 12/ 0.14 = 86 approx.

Hence number of men is 86 and women is 14. Hence fraction of men in population is \(\frac{86}{100}\).



thank you!


If the stem SPECIFICALLY indicates approximation, then 86/100 is correct.

The following is my calculation:

0.8m +0.66w= 0.78 (m+w)

then we got 0.8m+0.66w = 0.78m +0.78w

and we do some simplication here, we got 0.02m= 0.12w

and this means that 2m= 12w -----> m=6w

then m:w = 6:1

m/w+m(total population)= 6/7

is it clear now? no approximation invloved here. SO answer 6/7 would be better, never put approximation value if the stem doesn't specify.
avatar
sameer93
Intern
Intern
Joined: 06 Oct 2017
Posts: 9
Own Kudos [?]: 13 [0]
Given Kudos: 0
Send PM
Re: In a town, 80% of the men are registered voters [#permalink] New post   27 Dec 2017, 05:57
Peter wrote:
sandy wrote:
sameer93 wrote:
In a town, 80% of the men are registered voters and 66% of the women are registered voters. if 78% of the total population is a registered voter, what fraction of the population is Men?


Let assume there are 100 people in town. Let \(x\) be the men and women \(100 - x\).

Total voters = 78% of 100 = 78.

Number of men voters = \(0.8 \times x\)
Number of women voters = \(0.66 \times (100 - x)= 66 - 0.66x\)

Total voters men and women = 0.14x + 66 = 78.

x= 12/ 0.14 = 86 approx.

Hence number of men is 86 and women is 14. Hence fraction of men in population is \(\frac{86}{100}\).


the stem doesn't indicate approximation, and the answer is 6/7, please check it out.


I don't understand would you like to explain it? :/
avatar
Peter
Manager
Manager
Joined: 27 Sep 2017
Posts: 110
Own Kudos [?]: 82 [0]
Given Kudos: 0
Send PM
Re: In a town, 80% of the men are registered voters [#permalink] New post   27 Dec 2017, 05:59
1
[quote=

you can see the above illustration, otherwise, i don't know what to say.
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30021
Own Kudos [?]: 36388 [1]
Given Kudos: 25928
Send PM
Re: In a town, 80% of the men are registered voters [#permalink] New post   27 Dec 2017, 14:36
Expert Reply
1
Bookmarks
@Peter is right in this regard. The stem DOES NOT mention (at all) approximation. Not only that, if you solve the question the solution is not approximate but is a known number and it is \(\frac{6}{7}\).

The problem even if it seems a word problem (it is indeed) can be solved like a mixture problem of two parts.

\(80 X + 66 Y = 78 (X + Y)\)

Solving the equation we obtain \(\frac{X}{Y} = \frac{6}{1}\).

Our X = 6 and the total of men + women are 6+1 = 7

So, the number of men is 6 over 7 or \(\frac{6}{7}\)
User avatar
B
AkmKawser
Manager
Manager
Joined: 27 Oct 2021
Posts: 61
Own Kudos [?]: 50 [2]
Given Kudos: 49
Send PM
In a town, 80% of the men are registered voters [#permalink] New post   Updated on: 28 Sep 2022, 17:43
2
:) The easiest way to solve this problem.
Attachments

308479656_399430122359184_2046648037315974874_n.jpg
308479656_399430122359184_2046648037315974874_n.jpg [ 120.65 KiB | Viewed 2099 times ]


Originally posted by AkmKawser on 27 Sep 2022, 00:32.
Last edited by AkmKawser on 28 Sep 2022, 17:43, edited 1 time in total.
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30021
Own Kudos [?]: 36388 [1]
Given Kudos: 25928
Send PM
Re: In a town, 80% of the men are registered voters [#permalink] New post   27 Sep 2022, 00:34
1
Expert Reply
I like it. Would be better to write the solution in text but I guess is fine either way :blushing:
User avatar
B
rainer85
Manager
Manager
Joined: 17 Aug 2022
Posts: 88
Own Kudos [?]: 42 [0]
Given Kudos: 73
GRE 1: Q158 V156
Send PM
Re: In a town, 80% of the men are registered voters [#permalink] New post   27 Sep 2022, 18:46
I think the question should be re-worded, it should ask what percentage of the population that is registered to vote are men. If 78% is registered to vote, how do we know how to divvy up the remaining 22% of the population amongst men and women? Maybe I am mistaken?
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5053
Own Kudos [?]: 75 [0]
Given Kudos: 0
Send PM
Re: In a town, 80% of the men are registered voters [#permalink] New post   16 Jun 2024, 23:04
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.
Prep Club for GRE Bot
gmatclubot
Re: In a town, 80% of the men are registered voters [#permalink]
16 Jun 2024, 23:04
Moderators:
adewale223
GRE Instructor
84 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1111 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact