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

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TheRob
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A picnic attracts 240 persons. There are 20 more men than women, and 2 [#permalink] New post   21 Sep 2009, 09:19
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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
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B
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maliyeci
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Re: A picnic attracts 240 persons. There are 20 more men than women, and 2 [#permalink] New post   21 Sep 2009, 09:21
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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] New post   21 Sep 2009, 09:27
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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] New post   21 Sep 2009, 10:19
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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] New post   05 Feb 2016, 04:38
m+(m-20)+(m+m-20-20)=240

4m=300, so m=75

C
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Re: A picnic attracts 240 persons. There are 20 more men than women, and 2 [#permalink] New post   05 Feb 2016, 07:32
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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] New post   05 Feb 2016, 19:01
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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] New post   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 = 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] New post   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
# 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 [#permalink] New post   25 Aug 2020, 09:25
Maybe I am being picky, but can't children be counted as men or women? Or those terms are exclusively used for adults?
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Re: A picnic attracts 240 persons. There are 20 more men than women, and 2 [#permalink] New post   09 Jan 2022, 08:49
Let # adults = A

Adults are composed of Men (M) and Women (W)

Let # children = C

A + C = 240

“20 more adults than children”

A = 20 + C ——> substitute above

(20 + C) + C = 240

C = 110

A = 130

Out of the adults, “there are 20 more men than women”

M + W = A = 130

M = 20 + W ——-> substitute above

(20 + W) + W = 130

W = 55

M = 55 + 20 = 75


M = # of Men = 75 — is the answer

Posted from my mobile device
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Re: A picnic attracts 240 persons. There are 20 more men than women, and 2 [#permalink] New post   09 Jan 2022, 08:54
Given: A picnic attracts 240 persons. There are 20 more men than women, and 20 more adults than children.

Asked: How many men are at this picnic?

Let men, women and children at the picnic be m, w & c respectively.

A picnic attracts 240 persons.
m + w + c = 240

There are 20 more men than women
m = 20 + w

There are 20 more adults than children.
m + w = 20 + c

20 + c + c = 240
c = 110

m + w = 20 + 2w = 130
w = 55

m = 20 + 55 = 75

IMO B
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Re: A picnic attracts 240 persons. There are 20 more men than women, and 2 [#permalink] New post   18 Apr 2023, 02:43
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?

In this problem. There are 4 Variables

"M" for Men
"W" for Women
"A" for Adult
"C" for Children

Lets convert the sentences into algebraic form

1. There are 20 more men than women
i.e. M=W+20 (or) W=M-20


2. There are 20 more adults than children

here adults indirectly means Men & Women that means A=M+W

i.e A=C+20 (or) C=A-20
hence C=M+W-20
Substitute (W=M-20)
C=M+M-20-20
C=2M-40

3. Total no. of people in park is 240
i.e. M+W+C=240

M+M-20+2M-40=240

4M-60=240

4M=300

M=300/4=75

M=75
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Re: A picnic attracts 240 persons. There are 20 more men than women, and 2 [#permalink]
18 Apr 2023, 02:43
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