It is currently 15 Dec 2018, 17:45
My Tests

Close

GMAT 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 GMAT 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.

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

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
Joined: 06 Oct 2017
Posts: 9
Followers: 0

Kudos [?]: 3 [0], given: 2

In a town, 80% of the men are registered voters [#permalink] New post 26 Dec 2017, 07:01
00:00

Question Stats:

50% (02:02) correct 50% (01:57) wrong based on 4 sessions
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

[Reveal] Spoiler: OA
\(\frac{86}{100}\)
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 5185
Followers: 77

Kudos [?]: 1040 [0], given: 4676

CAT Tests
Re: In a town, 80% of the men are registered voters [#permalink] New post 26 Dec 2017, 07:02
Expert's post
This is a numeric entry question. Why the OA is A??

Please, review it.

Thank you
_________________

Get the 2 FREE GREPrepclub Tests

Intern
Intern
Joined: 06 Oct 2017
Posts: 9
Followers: 0

Kudos [?]: 3 [0], given: 2

Re: In a town, 80% of the men are registered voters [#permalink] New post 26 Dec 2017, 07:12
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
2 KUDOS received
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1663 [2] , given: 396

CAT Tests
Re: In a town, 80% of the men are registered voters [#permalink] New post 26 Dec 2017, 11:03
2
This post received
KUDOS
Expert's post
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 \(\frac{86}{100}\).
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Manager
Manager
Joined: 27 Sep 2017
Posts: 112
Followers: 1

Kudos [?]: 29 [0], given: 4

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.
Intern
Intern
Joined: 06 Oct 2017
Posts: 9
Followers: 0

Kudos [?]: 3 [0], given: 2

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.
Intern
Intern
Joined: 06 Oct 2017
Posts: 9
Followers: 0

Kudos [?]: 3 [0], given: 2

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!
1 KUDOS received
Manager
Manager
Joined: 27 Sep 2017
Posts: 112
Followers: 1

Kudos [?]: 29 [1] , given: 4

Re: In a town, 80% of the men are registered voters [#permalink] New post 27 Dec 2017, 05:24
1
This post received
KUDOS
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.
Intern
Intern
Joined: 06 Oct 2017
Posts: 9
Followers: 0

Kudos [?]: 3 [0], given: 2

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? :/
1 KUDOS received
Manager
Manager
Joined: 27 Sep 2017
Posts: 112
Followers: 1

Kudos [?]: 29 [1] , given: 4

Re: In a town, 80% of the men are registered voters [#permalink] New post 27 Dec 2017, 05:59
1
This post received
KUDOS
[quote=

you can see the above illustration, otherwise, i don't know what to say.
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 5185
Followers: 77

Kudos [?]: 1040 [0], given: 4676

CAT Tests
Re: In a town, 80% of the men are registered voters [#permalink] New post 27 Dec 2017, 14:36
Expert's post
@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 \(\frac{6}{7}\)
_________________

Get the 2 FREE GREPrepclub Tests

Re: In a town, 80% of the men are registered voters   [#permalink] 27 Dec 2017, 14:36
Display posts from previous: Sort by

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

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.