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# m03#7

Author Message
Intern
Joined: 09 Jun 2010
Posts: 24

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13 Jul 2011, 09:26
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 products listed above?

5%
10%
15%
25%
30%

I don't agree with the OA. Shouldn't the formula be M+C+A - (M&C + M&A + C&A) + M&C&A = 100%?
Senior Manager
Joined: 24 Mar 2011
Posts: 447
Location: Texas

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13 Jul 2011, 10:15
DYNAMITE wrote:
I don't agree with the OA. Shouldn't the formula be M+C+A - (M&C + M&A + C&A) + M&C&A = 100%?

it should be M+C+A - 3(M&C&A) - (M&C + M&A + C&A) + M&C&A = 100%

so 25%

D.

if you draw a venn diagram & try, it will be easier to understand.
Intern
Joined: 09 Jun 2010
Posts: 24

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13 Jul 2011, 11:16
I've drawn a VENN diagram. Subtracting the M&C away (the 2-part) take away the M&C&A portion (the 3-part) which was added 3 parts. Then we add it back once.
Intern
Joined: 29 Aug 2011
Posts: 3

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17 Sep 2011, 17:47
In the formula for "explained answers," I cannot figure why "T" is multiplied by (3-1). Can someone shed light on this?
Re: m03#7   [#permalink] 17 Sep 2011, 17:47
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# m03#7

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