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Foodmart customers regularly buy at least one of the

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Foodmart customers regularly buy at least one of the [#permalink] New post 23 Aug 2006, 08:28
Foodmart customers regularly buy at least one of the following products: milks, 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?

5%
10%
15%
25%
30%
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Re: Foodmart [#permalink] New post 23 Aug 2006, 10:23
Natalya Khimich wrote:
Foodmart customers regularly buy at least one of the following products: milks, 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?

5%
10%
15%
25%
30%

D.
100=60+50+35-(ma+ac+cm)-2(10)
(ma+ac+cm) = 145-120
(ma+ac+cm) = 25
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 [#permalink] New post 23 Aug 2006, 18:19
Why should we use 2(10) ??
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 [#permalink] New post 23 Aug 2006, 19:03
cbrf3 wrote:
Why should we use 2(10) ??


We use 2(10) because the total of 100 includes 1 (10) already which is common to all three items.

the same equation above could be

90 = (60 - 10) + (50 - 10) + (35 -10) - atleast 2

i.e. atleast 2 = 115 -90 = 25

Hence D
  [#permalink] 23 Aug 2006, 19:03
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