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# In a particular city the demographics is such that there are four men

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Senior Manager
Joined: 29 Nov 2018
Posts: 280
Concentration: Marketing, Strategy
In a particular city the demographics is such that there are four men  [#permalink]

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29 Jan 2019, 00:12
1
00:00

Difficulty:

55% (hard)

Question Stats:

58% (02:21) correct 42% (02:08) wrong based on 31 sessions

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In a particular city the demographics is such that there are four men for every three women and five children for every three men. If the city has 81,180 women, find the number of children in the city.

(1) 135,300
(2) 36,331
(3) 180,400
(4) 158,400
(5) 144,320
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1020
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: In a particular city the demographics is such that there are four men  [#permalink]

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29 Jan 2019, 01:10
4M = 3W
5C = 3M
M/W = 3/4
M = 3/4*W = 3/4*81180 = 60885.

C/M = 3/5
C = 3/5*60885
C = 36531.

cfc198, Can you check the OA?
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Intern
Joined: 15 Jan 2019
Posts: 4
Re: In a particular city the demographics is such that there are four men  [#permalink]

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29 Jan 2019, 05:59
M:W = 4:3 = 12:9
M:C = 3:5 = 12:20

That means C:M:W = 20:12:9

With 81,180 / 9 we get 9,020 as one part.

C=20*9,020=180,400

Re: In a particular city the demographics is such that there are four men   [#permalink] 29 Jan 2019, 05:59
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