It is currently 19 Sep 2017, 21:07

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# M03#7

Author Message
Manager
Joined: 13 Jul 2013
Posts: 71

Kudos [?]: 10 [0], given: 21

GMAT 1: 570 Q46 V24

### Show Tags

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

Kudos [?]: 10 [0], given: 21

Math Expert
Joined: 02 Sep 2009
Posts: 41601

Kudos [?]: 124053 [0], given: 12070

### Show Tags

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.
_________________

Kudos [?]: 124053 [0], given: 12070

Manager
Joined: 13 Jul 2013
Posts: 71

Kudos [?]: 10 [0], given: 21

GMAT 1: 570 Q46 V24

### Show Tags

24 Dec 2013, 05:54
Thanks a lot Bunuel. Much appreciated.

Kudos [?]: 10 [0], given: 21

Intern
Joined: 24 May 2013
Posts: 29

Kudos [?]: 22 [0], given: 21

Concentration: Operations, General Management
WE: Engineering (Energy and Utilities)

### Show Tags

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

Kudos [?]: 22 [0], given: 21

Math Expert
Joined: 02 Sep 2009
Posts: 41601

Kudos [?]: 124053 [0], given: 12070

### 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.

_________________

Kudos [?]: 124053 [0], given: 12070

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

Go to page   Previous    1   2   [ 25 posts ]

Display posts from previous: Sort by

# M03#7

Moderator: Bunuel

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.