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A group of 25 children went to the circus, 60% of whom liked the clown

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A group of 25 children went to the circus, 60% of whom liked the clown  [#permalink]

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New post 04 Nov 2018, 13:21
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  45% (medium)

Question Stats:

73% (02:33) correct 27% (03:02) wrong based on 95 sessions

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A group of 25 children went to the circus, 60% of whom liked the clowns. If the number of boys who liked the clowns was three more than the number who didn't, and the number of boys was one larger than the number of girls, then how many girls did not like the clowns?

A. 5
B. 7
C. 8
D. 12
E. 13

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Re: A group of 25 children went to the circus, 60% of whom liked the clown  [#permalink]

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New post 05 Nov 2018, 00:16
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This is easy if you don't fall into the trap of forgetting the information. There's a lot happening so start with what's most important:

"the number of boys was one larger than the number of girls" So, from 25 children, 13 boys and 12 girls.

Now,
" 25 children went to the circus, 60% of whom liked the clowns" So, 15 children liked the clowns.

Next,
"the number of boys who liked the clowns was three more than the number who didn't"

From earlier, total boys = 13
Hence liked clowns = 8
Didn't like = 5

Finally,
"how many girls did not like the clowns?"

Total children that liked - Total boys that liked = 15 - 8
Hence girls that liked the clowns = 7
So girls that DID NOT like the clowns = Total girls - The ones that liked

12 - 7 = 5

A :)
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A group of 25 children went to the circus, 60% of whom liked the clown  [#permalink]

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New post 24 Nov 2018, 19:51
Hey, How assumed from total boys who like the clown(8) and who don't like the clown(5).

To get 13-9,4 or 10,3...... Many terms are possible right ??
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A group of 25 children went to the circus, 60% of whom liked the clown  [#permalink]

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New post 25 Nov 2018, 10:08
nkin wrote:
A group of 25 children went to the circus, 60% of whom liked the clowns. If the number of boys who liked the clowns was three more than the number who didn't, and the number of boys was one larger than the number of girls, then how many girls did not like the clowns?

A. 5
B. 7
C. 8
D. 12
E. 13



15 kids liked
10 kids didnt like
total boys 13
total girls 12
boys who liked 8
boys who didnt like 5

since total 10 kids didnt like, then girls who didnt like 10-5=5
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A group of 25 children went to the circus, 60% of whom liked the clown  [#permalink]

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New post 25 Nov 2018, 10:11
manideep12 wrote:
Hey, How assumed from total boys who like the clown(8) and who don't like the clown(5).

To get 13-9,4 or 10,3...... Many terms are possible right ??



manideep12


let X be the total number of boys who didn't like clowns

then x+3 will be total number of boys who liked the clowns

since total number of boys is 13 you can create following equation:

\(x+3+x=13\)

\(2x+3=13\)

\(2x=10\)

\(x =5\)

so number boys who liked is \(5+3=8\)

and number of boys who didnt like is \(5\)
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A group of 25 children went to the circus, 60% of whom liked the clown   [#permalink] 25 Nov 2018, 10:11
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