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M03#7

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Manager
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Joined: 13 Jul 2013
Posts: 77
GMAT 1: 570 Q46 V24
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Re: M03#7 [#permalink] New post 24 Dec 2013, 00:38
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.


Answer: D.

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
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Re: M03#7 [#permalink] New post 24 Dec 2013, 01:06
Expert's post
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.


Answer: D.

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


Check here: advanced-overlapping-sets-problems-144260.html

Hope it helps.
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Manager
Manager
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Joined: 13 Jul 2013
Posts: 77
GMAT 1: 570 Q46 V24
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Kudos [?]: 4 [0], given: 21

Re: M03#7 [#permalink] New post 24 Dec 2013, 04:54
Thanks a lot Bunuel. Much appreciated.
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WE: Engineering (Energy and Utilities)
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Re: M03#7 [#permalink] New post 20 Jun 2014, 03:23
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
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Re: M03#7 [#permalink] New post 20 Jun 2014, 04:11
Expert's post
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


I think your doubt is answered here: m08-q-68236.html#p732561

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

This should clear your doubts.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Re: M03#7   [#permalink] 20 Jun 2014, 04:11
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