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# Of the 350 members in the local carpenters union, 190 of the members

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Math Expert
Joined: 02 Sep 2009
Posts: 50619
Of the 350 members in the local carpenters union, 190 of the members  [#permalink]

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31 Mar 2017, 02:55
00:00

Difficulty:

95% (hard)

Question Stats:

48% (03:25) correct 52% (03:40) wrong based on 90 sessions

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Of the 350 members in the local carpenters union, 190 of the members have more than 10 years experience and 110 of the members with 10 or fewer years experience are not master craftsmen. If ten elevenths of the master craftsmen own their own shops and there are 110 master craftsmen who own their own shops, which could be the number of master craftsmen with more than 10 years experience who own their own shops?

A. 125
B. 115
C. 100
D. 75
E. 40

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Senior Manager
Joined: 24 Apr 2016
Posts: 332
Re: Of the 350 members in the local carpenters union, 190 of the members  [#permalink]

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31 Mar 2017, 10:06
3

Solution attached.
Attachments

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Intern
Joined: 17 Jul 2017
Posts: 4
Re: Of the 350 members in the local carpenters union, 190 of the members  [#permalink]

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11 Mar 2018, 08:26
quantumliner wrote:

Solution attached.

If only 45 master craftsman with ten or more years own their own shop where are the others 65 master that own their own shop? Since we only have 50 with fewer than 10 years experience. I think I haven't understood this question well. Could someone explain?
Math Expert
Joined: 02 Aug 2009
Posts: 7035
Re: Of the 350 members in the local carpenters union, 190 of the members  [#permalink]

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11 Mar 2018, 08:53
gbatistoti wrote:
quantumliner wrote:

Solution attached.

If only 45 master craftsman with ten or more years own their own shop where are the others 65 master that own their own shop? Since we only have 50 with fewer than 10 years experience. I think I haven't understood this question well. Could someone explain?

Hi..
The distribution of MC is 71 > 10yrs and 50 <= 10yrs..
Of these 110 own their shop..
So Min of these from >10yrs =110-50=60 and max is all71
So solution can be any number between 60 and 71.
So you are correct that there is no valid answer here.

Bunuel, please check if there is some typo..
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Joined: 02 Jan 2017
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Re: Of the 350 members in the local carpenters union, 190 of the members  [#permalink]

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11 Mar 2018, 11:55
Good point. I got X to equal 121 total who own a shop. 121 - 50 ( <10 years experience) = 71. Am I missing something? Thanks
Re: Of the 350 members in the local carpenters union, 190 of the members &nbs [#permalink] 11 Mar 2018, 11:55
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