GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 17 Oct 2019, 19:19

### 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

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

# If 70% of the women in a room are over 50 years old and 80% of the peo

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58402
If 70% of the women in a room are over 50 years old and 80% of the peo  [#permalink]

### Show Tags

28 Dec 2017, 00:43
1
1
00:00

Difficulty:

35% (medium)

Question Stats:

73% (01:38) correct 27% (01:31) wrong based on 97 sessions

### HideShow timer Statistics

If 70% of the women in a room are over 50 years old and 80% of the people in the room are women, what is the ratio of the number of women 50 years old or less to the number men in the room?

A. 3 : 7
B. 4 : 1
C. 6 : 5
D. 7 : 10
E. 14 : 5

_________________
Intern
Joined: 11 Apr 2017
Posts: 38
Schools: Kelley '20
Re: If 70% of the women in a room are over 50 years old and 80% of the peo  [#permalink]

### Show Tags

28 Dec 2017, 03:33
1
let, total people 100
women=80
men=20
women 50 year or less = 80*30%
---------------------------=24
so, required ratio= 24:20
-------------------= 6:5
Director
Joined: 24 Nov 2016
Posts: 598
Location: United States
Re: If 70% of the women in a room are over 50 years old and 80% of the peo  [#permalink]

### Show Tags

28 Dec 2017, 17:36
1
Bunuel wrote:
If 70% of the women in a room are over 50 years old and 80% of the people in the room are women, what is the ratio of the number of women 50 years old or less to the number men in the room?

A. 3 : 7
B. 4 : 1
C. 6 : 5
D. 7 : 10
E. 14 : 5

Find the ratio of $$\frac{Woman<50}{Men}=\frac{0.3*80}{20}=\frac{24}{20}=6:5$$

Attachments

Untitled.png [ 10.78 KiB | Viewed 1093 times ]

SVP
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1685
Location: India
GPA: 3.01
WE: Engineering (Real Estate)
Re: If 70% of the women in a room are over 50 years old and 80% of the peo  [#permalink]

### Show Tags

30 Dec 2017, 22:46
Bunuel wrote:
If 70% of the women in a room are over 50 years old and 80% of the people in the room are women, what is the ratio of the number of women 50 years old or less to the number men in the room?

A. 3 : 7
B. 4 : 1
C. 6 : 5
D. 7 : 10
E. 14 : 5

Say, Total people in the room = 100

80% are women = 80 women (Given)

So, men = 100 - 80 = 20 men

70% of the women in a room are over 50 years old = 80*70/100 = 56 women

Therefore, no. of women <=50 years = 80 - 56 = 24

the ratio of the number of women 50 years old or less to the number men in the room = 24:20

_________________
"Do not watch clock; Do what it does. KEEP GOING."
Retired Moderator
Joined: 25 Feb 2013
Posts: 1178
Location: India
GPA: 3.82
If 70% of the women in a room are over 50 years old and 80% of the peo  [#permalink]

### Show Tags

30 Dec 2017, 23:06
Bunuel wrote:
If 70% of the women in a room are over 50 years old and 80% of the people in the room are women, what is the ratio of the number of women 50 years old or less to the number men in the room?

A. 3 : 7
B. 4 : 1
C. 6 : 5
D. 7 : 10
E. 14 : 5

Very simple and straight forward solutions have been presented above . Here's another approach just for academic purpose

Given ratio of women to men $$= 80:20=4:1$$. So women forms $$4$$ parts of the population.

it is given $$70$$% of WOMEN ($$4$$ parts) are more than 50 years so $$30$$% of WOMEN ($$4$$ parts) will be less than or equal to 50 years

Hence new ratio $$= (30$$%$$*4):1=\frac{6}{5}:1=6:5$$

Option C
Current Student
Joined: 06 Sep 2016
Posts: 125
Location: Italy
Schools: EDHEC (A$) GMAT 1: 650 Q43 V37 GPA: 3.2 WE: General Management (Human Resources) Re: If 70% of the women in a room are over 50 years old and 80% of the peo [#permalink] ### Show Tags 22 Jan 2018, 08:48 Can you please tell me why I can't get the correct answer? Total number of people = X Total Woman = 4X/5 Total Men = X/5 Women >50 = (4x/5)(7/10) = 28X/50 Women <50 = 22X/50 Ratio = 22X/50 / X/5 = 11/5 !! Retired Moderator Joined: 25 Feb 2013 Posts: 1178 Location: India GPA: 3.82 Re: If 70% of the women in a room are over 50 years old and 80% of the peo [#permalink] ### Show Tags 22 Jan 2018, 09:50 1 MvArrow wrote: Can you please tell me why I can't get the correct answer? Total number of people = X Total Woman = 4X/5 Total Men = X/5 Women >50 = (4x/5)(7/10) = 28X/50 Women <50 = 22X/50 Ratio = 22X/50 / X/5 = 11/5 !! Hi MvArrow the highlighted part is incorrect as you have calculated Women>50 as 28x/50 so women less than 50 has to be =4x/5-28x/50=12x/50 you have subtracted women>50 from the total population which is incorrect Current Student Joined: 06 Sep 2016 Posts: 125 Location: Italy Schools: EDHEC (A$)
GMAT 1: 650 Q43 V37
GPA: 3.2
WE: General Management (Human Resources)
Re: If 70% of the women in a room are over 50 years old and 80% of the peo  [#permalink]

### Show Tags

22 Jan 2018, 10:06
niks18 wrote:
MvArrow wrote:
Can you please tell me why I can't get the correct answer?

Total number of people = X
Total Woman = 4X/5
Total Men = X/5

Women >50 = (4x/5)(7/10) = 28X/50
[highlight]Women 50 as 28x/50

so women less than 50 has to be =4x/5-28x/50=12x/50

you have subtracted women>50 from the total population which is incorrect

Thanks a lot! Stupid error ouch! Now I fully understand
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4776
Location: India
GPA: 3.5
Re: If 70% of the women in a room are over 50 years old and 80% of the peo  [#permalink]

### Show Tags

22 Jan 2018, 10:52
Bunuel wrote:
If 70% of the women in a room are over 50 years old and 80% of the people in the room are women, what is the ratio of the number of women 50 years old or less to the number men in the room?

A. 3 : 7
B. 4 : 1
C. 6 : 5
D. 7 : 10
E. 14 : 5
Let there be 100 People in the room.

Total women in the room is $$80$$ & Total Men in the Room is $$20$$

Women in a room over 50 years old = $$56$$

Women in a room less than 50 years old is $$80 - 56$$ = $$24$$

So, ratio of the number of women 50 years old or less to the number men in the room is $$24 : 20$$ = $$6 : 5$$, answer must be (C)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Intern
Joined: 01 Oct 2016
Posts: 4
If 70% of the women in a room are over 50 years old and 80% of the peo  [#permalink]

### Show Tags

22 Jan 2018, 12:14
Ratio = No. of female less than or equal to 50yrs/total No of male
If:
Total number of people = 100
Then:
Total number of female = 80
Total number of male = 20
Females who are greater than 50yrs = 70% of all females
Females who are less than or equal to 50yrs = 30% of all females = 0.3*80

So, ratio = 0.3*80/20 = 0.3*4 = 1.2 = 6/5 = hence, C
Hope it helps.
If 70% of the women in a room are over 50 years old and 80% of the peo   [#permalink] 22 Jan 2018, 12:14
Display posts from previous: Sort by