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In a consumer survey, 85% of those surveyed liked at least one of thre

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In a consumer survey, 85% of those surveyed liked at least one of thre [#permalink] New post   21 Nov 2022, 12:07
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In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?

A) 5
B) 10
C) 15
D) 20
E) 25

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Re: In a consumer survey, 85% of those surveyed liked at least one of thre [#permalink] New post   24 Nov 2022, 10:24
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As 85% of those surveyed liked at least one of three products then 15% liked none of three products.

Total = {liked product 1} + {liked product 2} + {liked product 3} - {liked exactly two products} - 2*{liked three product} + {liked none of three products}

\(100=50+30+20-x-2*5+15\) --> \(x=5\), so 5 people liked exactly two products. More than one product liked those who liked exactly two products, (5%) plus those who liked exactly three products (5%), so 5 + 5 = 10% liked more than one product.

Answer: B.
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Re: In a consumer survey, 85% of those surveyed liked at least one of thre [#permalink] New post   12 Dec 2022, 07:22
Hi,

Why do you multiply 2 for liked three product?


Carcass wrote:
As 85% of those surveyed liked at least one of three products then 15% liked none of three products.

Total = {liked product 1} + {liked product 2} + {liked product 3} - {liked exactly two products} - 2*{liked three product} + {liked none of three products}

\(100=50+30+20-x-2*5+15\) --> \(x=5\), so 5 people liked exactly two products. More than one product liked those who liked exactly two products, (5%) plus those who liked exactly three products (5%), so 5 + 5 = 10% liked more than one product.

Answer: B.
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Re: In a consumer survey, 85% of those surveyed liked at least one of thre [#permalink]
12 Dec 2022, 07:22
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