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

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

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New post 27 Dec 2017, 23:43
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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
[Reveal] Spoiler: OA

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Re: If 70% of the women in a room are over 50 years old and 80% of the peo [#permalink]

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New post 28 Dec 2017, 02:33
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let, total people 100
women=80
men=20
women 50 year or less = 80*30%
---------------------------=24
so, required ratio= 24:20
-------------------= 6:5

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Re: If 70% of the women in a room are over 50 years old and 80% of the peo [#permalink]

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New post 28 Dec 2017, 16:36
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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 \(\frac{Woman<50}{Men}=\frac{0.3*80}{20}=\frac{24}{20}=6:5\)

(C) is the answer.
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Re: If 70% of the women in a room are over 50 years old and 80% of the peo [#permalink]

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New post 30 Dec 2017, 21:46
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

Answer = 6:5 (C)
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If 70% of the women in a room are over 50 years old and 80% of the peo [#permalink]

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New post 30 Dec 2017, 22:06
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 :thumbup: . 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

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If 70% of the women in a room are over 50 years old and 80% of the peo   [#permalink] 30 Dec 2017, 22:06
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