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John, Karen and Luke collected cans

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Manager
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John, Karen and Luke collected cans [#permalink]

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New post 31 Mar 2008, 02:54
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A
B
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D
E

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78% (01:26) correct 22% (00:01) wrong based on 11 sessions

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John, Karen and Luke collected cans of vegetable of a food drive. The number of cans that John collected was 1/2 the number of cans that Karen collected and 1/3 the number of cans that Luke collected. The number of cans that Luke collected was what fraction of the total number of cans that John, Karen and Luke collected?

(A) 1/5
(B) 1/3
(C) 2/5
(D) 1/2
(E) 2/3

[Reveal] Spoiler:
Hi Guys ,
I came across the following question in SET 31 and couldnt solve it. Any guidance will be appreaciated.
I tried solving it but wasnt able to.
If anyone can give solution with explanation it will be nice.
Thanks...
[Reveal] Spoiler: OA

Last edited by JarvisR on 24 Jun 2015, 23:25, edited 1 time in total.
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Re: John, Karen and Luke collected cans [#permalink]

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New post 31 Mar 2008, 03:04
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Important part is to solve "The number of cans that John collected was 1/2 the number of cans that Karen collected and 1/3 the number of cans that Luke collected."

Says John Collected x number of cans.
Then Karen collected = 2*x = 2x cans (as John collected 1/2nd the number of cans that Karen collected)
Then Luke collected = 3*x = 3x cans (as John collected 1/3rd the number of cans that Luke collected)

So total number of cans (John's + Karen's + Luke's) = x + 2x + 3x = 6x

Now the easy part, which is asking us "The number of cans that Luke collected was what fraction of the total number of cans that John, Karen and Luke collected" or re-phrased ratio of can collected by Luke to total cans.

So Ratio = 3x/6x = 1/2

Answer D.
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Re: John, Karen and Luke collected cans [#permalink]

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New post 31 Mar 2008, 03:43
oh ya, you are right abhijit. I was using an incorrect approach. Thanks a lot for your help. :)
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Re: John, Karen and Luke collected cans [#permalink]

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New post 15 Mar 2016, 19:36
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Re: John, Karen and Luke collected cans   [#permalink] 15 Mar 2016, 19:36
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John, Karen and Luke collected cans

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