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# Foodmart customers regularly buy at least one of the

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CEO
Joined: 21 Jan 2007
Posts: 2764
Location: New York City
Followers: 9

Kudos [?]: 354 [0], given: 4

Foodmart customers regularly buy at least one of the [#permalink]  27 Nov 2007, 04:59
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 2 of the above products?

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

I know how to solve this using set theory. Can someone show me the Venn diag approach?
Intern
Joined: 25 Nov 2007
Posts: 38
Followers: 0

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

Something is missing here.

All three Venn Circles add up to 60+50+35 =145

10% customers buy all 3 ..

So we are left with

145-10= 135

So 35% customers should buy atleast 2 products.

But I don't see 35 as a choice.. What am I missing??
Intern
Joined: 23 Sep 2007
Posts: 36
Followers: 0

Kudos [?]: 1 [0], given: 0

I get E.

Will explain if correct...whats the OA
VP
Joined: 10 Jun 2007
Posts: 1465
Followers: 6

Kudos [?]: 137 [0], given: 0

shubhampandey wrote:
Something is missing here.

All three Venn Circles add up to 60+50+35 =145

10% customers buy all 3 ..

So we are left with

145-10= 135

So 35% customers should buy atleast 2 products.

But I don't see 35 as a choice.. What am I missing??

Be careful. The question is asking for "only 2 products". You are giving a number of "2 products or more". I have seen too many people make this mistake...the answer should be 35-10=25

60+50+35 - (only two) - 2*10 = 100
Only two = 25%

http://www.gmatclub.com/forum/t52928
SVP
Joined: 28 Dec 2005
Posts: 1581
Followers: 2

Kudos [?]: 88 [0], given: 2

bkk145 wrote:
shubhampandey wrote:
Something is missing here.

All three Venn Circles add up to 60+50+35 =145

10% customers buy all 3 ..

So we are left with

145-10= 135

So 35% customers should buy atleast 2 products.

But I don't see 35 as a choice.. What am I missing??

Be careful. The question is asking for "only 2 products". You are giving a number of "2 products or more". I have seen too many people make this mistake...the answer should be 35-10=25

60+50+35 - (only two) - 2*10 = 100
Only two = 25%

http://www.gmatclub.com/forum/t52928

i had the same equation above as you, bkk, but end up with the answer as 30 %
Senior Manager
Joined: 26 Jul 2007
Posts: 371
Followers: 2

Kudos [?]: 4 [0], given: 0

can someone further explain the venn diagram approach? I have the 145 and the 10, but why do you subtract another 10?
VP
Joined: 10 Jun 2007
Posts: 1465
Followers: 6

Kudos [?]: 137 [0], given: 0

rajpdsouza wrote:
bump...anyone?

What are you not clear about? Write out your approach and maybe I can help.

35 represents "more than two kinds"
25 represents "only two kinds"
CEO
Joined: 21 Jan 2007
Posts: 2764
Location: New York City
Followers: 9

Kudos [?]: 354 [0], given: 4

bkk145 wrote:
rajpdsouza wrote:
bump...anyone?

What are you not clear about? Write out your approach and maybe I can help.

35 represents "more than two kinds"
25 represents "only two kinds"

can u draw out the venn?
SVP
Joined: 28 Dec 2005
Posts: 1581
Followers: 2

Kudos [?]: 88 [0], given: 2

i didnt do the venn, but used the equation approach and got 25
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