It is currently 17 Dec 2017, 13:51

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In a certain region, the number of children who have been

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

8 KUDOS received
Manager
Manager
avatar
Joined: 05 Jul 2006
Posts: 195

Kudos [?]: 81 [8], given: 0

In a certain region, the number of children who have been [#permalink]

Show Tags

New post 06 Sep 2006, 11:15
8
This post received
KUDOS
30
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

67% (01:09) correct 33% (01:15) wrong based on 859 sessions

HideShow timer Statistics

In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps. The number who have been vaccinated against both is twice the number who have been vaccinated only against mumps. If 5,000 have been vaccinated against both, how many have been vaccinated only against rubella?

A. 2,500
B. 7,500
C. 10,000
D. 15,000
E. 17,500
[Reveal] Spoiler: OA

Kudos [?]: 81 [8], given: 0

2 KUDOS received
VP
VP
User avatar
Joined: 02 Jun 2006
Posts: 1257

Kudos [?]: 110 [2], given: 0

Re: In a certain region, the number of children who have been [#permalink]

Show Tags

New post 06 Sep 2006, 12:57
2
This post received
KUDOS
3
This post was
BOOKMARKED
C. 10,000

Let
R = vaccinated against Rubella
M = vaccinated against Measles
R'= not vaccinated against Rubella
M'= not vacinnated against Measles

Given RM = 5000, and R'M = 1/2 RM = 2500
M = 7500

R = 2 x M = 15000

RM' = R - RM = 15000 - 5000 = 10, 000

Answer: C

Kudos [?]: 110 [2], given: 0

2 KUDOS received
Retired Moderator
User avatar
B
Joined: 05 Jul 2006
Posts: 1748

Kudos [?]: 448 [2], given: 49

GMAT ToolKit User Premium Member
Re: In a certain region, the number of children who have been [#permalink]

Show Tags

New post 06 Sep 2006, 14:27
2
This post received
KUDOS
Folks i tried to solve it using venn diagrams still cant get it

I will appreciate any explanation that is not based on a formula that i have to revise( am ver bad at revising formulas) :lol:

Kudos [?]: 448 [2], given: 49

6 KUDOS received
VP
VP
User avatar
Joined: 02 Jun 2006
Posts: 1257

Kudos [?]: 110 [6], given: 0

Re: In a certain region, the number of children who have been [#permalink]

Show Tags

New post 06 Sep 2006, 14:42
6
This post received
KUDOS
2
This post was
BOOKMARKED
Mt = Number vaccinated against Mumps
x = Number vaccinated against Mumps but not Rubella

Looking at the attached figure, if the number of Rubella and not mumps vaccinated is 5000 *( which is 2x) then x = 2500 which is the number vaccinated against Mumps but not Rubella.

Total vaccinated against Mumps = 7500

Total vaccinated against Rubella = 2 x Mt = 15000

Therefore, total Rubella but not Mumps vaccinated = 15000 - 5000 = 10, 000

yezz wrote:
Folks i tried to solve it using venn diagrams still cant get it

I will appreciate any explanation that is not based on a formula that i have to revise( am ver bad at revising formulas) :lol:

Attachments

Rubella.JPG
Rubella.JPG [ 12.38 KiB | Viewed 27788 times ]

Kudos [?]: 110 [6], given: 0

4 KUDOS received
CEO
CEO
User avatar
Joined: 20 Nov 2005
Posts: 2892

Kudos [?]: 337 [4], given: 0

Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Re: In a certain region, the number of children who have been [#permalink]

Show Tags

New post 07 Sep 2006, 06:31
4
This post received
KUDOS
3
This post was
BOOKMARKED
C

Make Venn Diagram.

Mumps = x
Rubella = 2x
Both = y

Only Mumps = x-y
As given y = 2(x-y)
i.e 3y = 2x
y = 5000
therefore x = 7500

Only Rubella = 2x-y = 2*7500 - 5000 = 10000
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Kudos [?]: 337 [4], given: 0

2 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 27 Jul 2006
Posts: 292

Kudos [?]: 18 [2], given: 0

Re: In a certain region, the number of children who have been [#permalink]

Show Tags

New post 08 Sep 2006, 08:34
2
This post received
KUDOS
We know that 5000 people have both MR vac.

We know that 2500 people have only M

Total people with M vac is 7500

we know that total R=2M
15000
we also know that 5000 people have both MR
15000
-5000
=10000

Kudos [?]: 18 [2], given: 0

Senior Manager
Senior Manager
User avatar
Joined: 17 Jun 2015
Posts: 259

Kudos [?]: 41 [0], given: 165

GMAT 1: 540 Q39 V26
GMAT 2: 680 Q46 V37
GMAT ToolKit User
Re: In a certain region, the number of children who have been [#permalink]

Show Tags

New post 13 Sep 2016, 17:20
A = Only Rubella
B = Both
C = Only Mumps

A + B = Total Rubella
B + C = Total Mumps

According to the question,

A + B = 2 ( B+ C ) --------------------- (Eqn 1)
B = 2C
B = 5000

A + B = 2B + 2C
; A = B + 2C = 2B = 10,000

Option C.
_________________

Fais de ta vie un rêve et d'un rêve une réalité

Kudos [?]: 41 [0], given: 165

Expert Post
7 KUDOS received
Veritas Prep GMAT Instructor
User avatar
G
Joined: 16 Oct 2010
Posts: 7799

Kudos [?]: 18153 [7], given: 236

Location: Pune, India
Re: In a certain region, the number of children who have been [#permalink]

Show Tags

New post 13 Sep 2016, 22:05
7
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
lan583 wrote:
In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps. The number who have been vaccinated against both is twice the number who have been vaccinated only against mumps. If 5,000 have been vaccinated against both, how many have been vaccinated only against rubella?

A. 2,5000
B. 7,500
C. 10,000
D. 15,000
E. 17,500


Use a single variable as far as possible.

Number vaccinated only against mumps = x
Number vaccinated against both = 2x = 5000 (so x = 2500)

Then, number vaccinated against mumps (including both) = x + 2x = 3x
Number vaccinated against rubella = 2*3x = 6x
Then, number vaccinated against only rubella = 6x - 2x = 4x = 4*2500 = 10,000

Answer (C)
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Kudos [?]: 18153 [7], given: 236

Manager
Manager
avatar
B
Joined: 13 Dec 2013
Posts: 171

Kudos [?]: 29 [0], given: 122

Location: United States (NY)
Concentration: Nonprofit, International Business
GMAT 1: 710 Q46 V41
GMAT 2: 720 Q48 V40
GPA: 4
WE: Consulting (Consulting)
Reviews Badge
Re: In a certain region, the number of children who have been [#permalink]

Show Tags

New post 21 Mar 2017, 18:30
lan583 wrote:
In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps. The number who have been vaccinated against both is twice the number who have been vaccinated only against mumps. If 5,000 have been vaccinated against both, how many have been vaccinated only against rubella?

A. 2,5000
B. 7,500
C. 10,000
D. 15,000
E. 17,500



Number vaccinated against both: 5,000.
The number vaccinated against both is twice the number vaccinated only against mumps. Number vaccinated only against mumps = 5000/2=2500.
Number vaccinated against mumps = 7500
Number vaccinated against rubella = 5000 + n
5000+n=2*7500
5000+n=15000
n=10000

Kudos if you agree with the explanation! Please comment if you have a better method.

Kudos [?]: 29 [0], given: 122

Manager
Manager
avatar
B
Joined: 20 Jan 2016
Posts: 219

Kudos [?]: 17 [0], given: 64

Re: In a certain region, the number of children who have been [#permalink]

Show Tags

New post 06 Nov 2017, 03:06
I used the table format similar to the one provided by haas_mba07 above.

Try to fill in the table systematically.

We are told that
RM=5000
R=2M

When you draw the table, fill in the value for RM first (5000).

Now RM= 2M' (only mumps, not rubella)

So on the right hand side, you will write 2500.

This gives you a total for M which is 7500

Now, We are given that R=2M

So in the similar column under 5000, you will write value of R which will be 150,000

Now to get the value of R' (only rubella , not mumps) by subtracting 150,000-5000 = 10,000 (option C)

Kudos [?]: 17 [0], given: 64

Expert Post
1 KUDOS received
Target Test Prep Representative
User avatar
S
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1810

Kudos [?]: 991 [1], given: 5

Re: In a certain region, the number of children who have been [#permalink]

Show Tags

New post 08 Nov 2017, 16:24
1
This post received
KUDOS
Expert's post
lan583 wrote:
In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps. The number who have been vaccinated against both is twice the number who have been vaccinated only against mumps. If 5,000 have been vaccinated against both, how many have been vaccinated only against rubella?

A. 2,500
B. 7,500
C. 10,000
D. 15,000
E. 17,500


We can create the following formula:

Total = total mumps + total rubella - both + neither

We can let total mumps = m, and thus total rubella = 2m.

We can let both = b, and thus only mumps is m - b.

Since the number who have been vaccinated against both is twice the number who have been vaccinated only against mumps:

b = 2(m - b)

b = 2m - 2b

3b = 2m

Since b = 5000, we have:

3(5000) = 2m

15000 = 2m

7500 = m

Since m = 7500, the total number of children vaccinated against rubella is r = 2m = 2(7500) = 15000. Thus, the number who have been vaccinated against only rubella is r - b = 15000 - 5000 = 10000.

Answer: C
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 991 [1], given: 5

Manager
Manager
User avatar
B
Status: love the club...
Joined: 24 Mar 2015
Posts: 213

Kudos [?]: 22 [0], given: 472

Re: In a certain region, the number of children who have been [#permalink]

Show Tags

New post 25 Nov 2017, 02:23
In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps. The number who have been vaccinated against both is twice the number who have been vaccinated only against mumps. If 5,000 have been vaccinated against both, how many have been vaccinated only against rubella?

A. 2,500
B. 7,500
C. 10,000
D. 15,000
E. 17,500[/quote]


hi

both = 5000
only mumps = 2500
so, mumps = 7500

now, r = 2 * 7500
= 15000

only rubella = 15000 - 5000
=10000

thanks

Kudos [?]: 22 [0], given: 472

Senior Manager
Senior Manager
avatar
S
Joined: 15 Jan 2017
Posts: 346

Kudos [?]: 5 [0], given: 780

CAT Tests
Re: In a certain region, the number of children who have been [#permalink]

Show Tags

New post 11 Dec 2017, 12:20
Did it mostly like a word problem:

In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps. The number who have been vaccinated against both is twice the number who have been vaccinated only against mumps. If 5,000 have been vaccinated against both, how many have been vaccinated only against rubella?

"In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps." --> mumps = x, rubella = 2x

"The number who have been vaccinated against both is twice the number who have been vaccinated only against mumps. " - both would mean 2x +x = 3x have been vaxxed against both. So twice of this => 3x = 2x of mumps => 3x - 2x =0, x = 1 both, as per question. Thus mumps and 'both' are the same.

"If 5,000 have been vaccinated against both, how many have been vaccinated only against rubella?" --> says that x = 5000. So rubella, as per earlier, is 10,000.

Kudos, please if it was useful for you :)

Kudos [?]: 5 [0], given: 780

Re: In a certain region, the number of children who have been   [#permalink] 11 Dec 2017, 12:20
Display posts from previous: Sort by

In a certain region, the number of children who have been

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.