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

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Manager
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Joined: 29 May 2008
Posts: 109
A picnic attracts 240 persons. There are 20 more men than women, and 2  [#permalink]

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New post 21 Sep 2009, 08:19
2
2
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

71% (01:42) correct 29% (01:29) wrong based on 159 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
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Joined: 23 Jun 2009
Posts: 351
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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New post 21 Sep 2009, 08:21
1
Adults = children + 20.
Children + adults = 240
Children = 110
adults = 130
Men = women + 20
Men + Women = 130
Men=75
Women=55
B
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Re: A picnic attracts 240 persons. There are 20 more men than women, and 2  [#permalink]

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New post 21 Sep 2009, 08:27
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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Re: A picnic attracts 240 persons. There are 20 more men than women, and 2  [#permalink]

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New post 21 Sep 2009, 09:19
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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A picnic attracts 240 persons. There are 20 more men than women, and 2  [#permalink]

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New post 05 Feb 2016, 03:38
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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New post 05 Feb 2016, 06:32
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


Adult + Children = 240
Let, Children = y
then, Adult = y+20
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

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

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New post 05 Feb 2016, 18:01
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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New post 06 Feb 2016, 10:06
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 = Adults+ Children

240 = ( Children+20 )+ Children

220 = 2 (Children )

Children = 110
Adults = 130

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


Adults = Men + Women

130 = Men + Women

130 = (Women + 20 )+ Women

110 = 2 ( Women )

Women = 55

So, Men = Women + 20

Or, Men = 55 + 20

So, Men = 75

Answer is definitely (B)
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Re: A picnic attracts 240 persons. There are 20 more men than women, and 2  [#permalink]

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New post 02 Nov 2018, 02:24
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
# OF ADULTS C+20

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

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