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# M03#7

Author Message
Manager
Joined: 13 Jul 2013
Posts: 75
GMAT 1: 570 Q46 V24
Followers: 0

Kudos [?]: 8 [0], given: 21

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24 Dec 2013, 01:38
Bunuel wrote:
snowy2009 wrote:
Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 35% buy apples. If 10% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the above products?

(A) 5%
(B) 10%
(C) 15%
(D) 25%
(E) 30%

100%={customers who buy milk}+{customers who buy chicken}+{customers who buy apples} - {customer who buy exactly 2 products} - 2*{customers who by exactly 3 products}+{customers who buy neither of the products}

$$100=60+50+35-x-2*10+0$$ --> $$x=25$$.

For more about the formulas for 3 overlapping sets please see my post at: formulae-for-3-overlapping-sets-69014.html?hilit=rather%20memorize

Hope it helps.

Hello, Can you please tell me why we did 2*10. I am lost on that part
Math Expert
Joined: 02 Sep 2009
Posts: 34449
Followers: 6271

Kudos [?]: 79582 [0], given: 10022

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24 Dec 2013, 02:06
theGame001 wrote:
Bunuel wrote:
snowy2009 wrote:
Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 35% buy apples. If 10% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the above products?

(A) 5%
(B) 10%
(C) 15%
(D) 25%
(E) 30%

100%={customers who buy milk}+{customers who buy chicken}+{customers who buy apples} - {customer who buy exactly 2 products} - 2*{customers who by exactly 3 products}+{customers who buy neither of the products}

$$100=60+50+35-x-2*10+0$$ --> $$x=25$$.

For more about the formulas for 3 overlapping sets please see my post at: formulae-for-3-overlapping-sets-69014.html?hilit=rather%20memorize

Hope it helps.

Hello, Can you please tell me why we did 2*10. I am lost on that part

Hope it helps.
_________________
Manager
Joined: 13 Jul 2013
Posts: 75
GMAT 1: 570 Q46 V24
Followers: 0

Kudos [?]: 8 [0], given: 21

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24 Dec 2013, 05:54
Thanks a lot Bunuel. Much appreciated.
Intern
Joined: 24 May 2013
Posts: 29
Concentration: Operations, General Management
WE: Engineering (Energy and Utilities)
Followers: 2

Kudos [?]: 13 [0], given: 21

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20 Jun 2014, 04:23
In the question above , b3=10% and i get the ans
In question below can I take b2=30%??
Because doing that I am not getting ans
Among 200 people, 56% like strawberry jam, 44% like apple jam, and 40% like raspberry jam. If 30% of the people like both strawberry and apple jam, what is the largest possible number of people who like raspberry jam but do not like either strawberry or apple jam
Math Expert
Joined: 02 Sep 2009
Posts: 34449
Followers: 6271

Kudos [?]: 79582 [0], given: 10022

### Show Tags

20 Jun 2014, 05:11
nidhi12 wrote:
In the question above , b3=10% and i get the ans
In question below can I take b2=30%??
Because doing that I am not getting ans
Among 200 people, 56% like strawberry jam, 44% like apple jam, and 40% like raspberry jam. If 30% of the people like both strawberry and apple jam, what is the largest possible number of people who like raspberry jam but do not like either strawberry or apple jam

Also, check another solution for the original question here: m03-74439.html#p786229 and follow the link to 3 overlapping sets problems given there.

_________________
Re: M03#7   [#permalink] 20 Jun 2014, 05:11

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# M03#7

Moderator: Bunuel

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