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# A picnic attracts 240 persons. There are 20 more men than women, and 2

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Manager
Joined: 29 May 2008
Posts: 107
A picnic attracts 240 persons. There are 20 more men than women, and 2  [#permalink]

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21 Sep 2009, 09:19
2
2
00:00

Difficulty:

55% (hard)

Question Stats:

68% (02:11) correct 32% (01:48) wrong based on 162 sessions

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A picnic attracts 240 persons. There are 20 more men than women, and 20 more adults than children. How many men are at this picnic?

A) 240
B) 75
C) 110
D) 130
E) 200
Senior Manager
Joined: 23 Jun 2009
Posts: 293
Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
Re: A picnic attracts 240 persons. There are 20 more men than women, and 2  [#permalink]

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21 Sep 2009, 09:21
1
Children = 110
Men = women + 20
Men + Women = 130
Men=75
Women=55
B
Manager
Joined: 10 Jul 2009
Posts: 90
Location: Ukraine, Kyiv
Re: A picnic attracts 240 persons. There are 20 more men than women, and 2  [#permalink]

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21 Sep 2009, 09:27
1
M=W+20 (W=M-20)
M+W=C+20

C+20+C=240
C=110
M+W=130
taking info from 1st eq, inserting and solving.

finally, we have the result 75. b
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Manager
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Posts: 132
Location: India
Schools: South Asian B-schools
Re: A picnic attracts 240 persons. There are 20 more men than women, and 2  [#permalink]

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21 Sep 2009, 10:19
m + w + c = 240

we know ....
m = w + 20
m + w = c + 20

rearranging....
m+m-20+2m-40 = 240

m = 75.. OA is B
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Bhushan S.
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Joined: 23 Jan 2013
Posts: 525
Schools: Cambridge'16
A picnic attracts 240 persons. There are 20 more men than women, and 2  [#permalink]

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05 Feb 2016, 04:38
m+(m-20)+(m+m-20-20)=240

4m=300, so m=75

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Re: A picnic attracts 240 persons. There are 20 more men than women, and 2  [#permalink]

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05 Feb 2016, 07:32
TheRob wrote:
A picnic attracts 240 persons. There are 20 more men than women, and 20 more adults than children. How many men are at this picnic?

A) 240
B) 75
C) 110
D) 130
E) 200

Let, Children = y
i.e. y+(y+20) = 240
i.e. y = 110
i.e. Adult = 110+20 = 130

Adults include only Men and Women

i.e. Men + Women = 130

Let women, W = x
then Men, M = x+20

i.e. x+(x+20) = 2x+20 = 130
i.e. x = 55

i.e. Men, M = 55+20 = 75

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Re: A picnic attracts 240 persons. There are 20 more men than women, and 2  [#permalink]

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05 Feb 2016, 19:01
240=M+W+C
M=W+20
C=M+W-20
C=W+20+W-20
C=2W

now
240=W+20+W+2W
220=4W
W=55
M=55+20
M=75
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Re: A picnic attracts 240 persons. There are 20 more men than women, and 2  [#permalink]

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06 Feb 2016, 11:06
TheRob wrote:
A picnic attracts 240 persons. There are 20 more men than women, and 20 more adults than children. How many men are at this picnic?

A) 240
B) 75
C) 110
D) 130
E) 200

240 = ( Children+20 )+ Children

220 = 2 (Children )

Children = 110

Now, it is given
Quote:
There are 20 more men than women

130 = Men + Women

130 = (Women + 20 )+ Women

110 = 2 ( Women )

Women = 55

So, Men = Women + 20

Or, Men = 55 + 20

So, Men = 75

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Re: A picnic attracts 240 persons. There are 20 more men than women, and 2  [#permalink]

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02 Nov 2018, 03:24
TheRob wrote:
A picnic attracts 240 persons. There are 20 more men than women, and 20 more adults than children. How many men are at this picnic?

A) 240
B) 75
C) 110
D) 130
E) 200

# OF MEN W+20
# OF WOMEN W

# OF CHILDREN C

C+C+20 = 240

2C+20=240

# OF CHILDREN = 110

# OF ADULTS = 240-110 = 130

W+20+W = 130

2W+20=130

2W =110

# OF WOMAN = 55

# OF MEN = 55+20 = 75

Re: A picnic attracts 240 persons. There are 20 more men than women, and 2   [#permalink] 02 Nov 2018, 03:24
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