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A survey asked 1,150 people to choose their favorite laundry

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A survey asked 1,150 people to choose their favorite laundry [#permalink] New post 05 Mar 2017, 09:14
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Question Stats:

33% (00:48) correct 66% (00:54) wrong based on 33 sessions


A survey asked 1,150 people to choose their favorite laundry detergent from brands A, B, and C. Of the people surveyed, x percent chose A as their favorite brand. If x is rounded to the nearest integer, the result is 3. Which of the following could be the number of people who chose A as their favorite brand?
Indicate all such numbers.

❑ 20
❑ 25
❑ 30
❑ 35
❑ 40
❑ 45
❑ 50

[Reveal] Spoiler:
C,D, and E
[Reveal] Spoiler: OA

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Re: A survey asked 1,150 people to choose their favorite laundry [#permalink] New post 11 Mar 2017, 20:20
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Explanation

Since x is rounded to the nearest integer (3), the actual percentage could be anything between

2.5% and 3.4999...%, because all of these numbers would round to 3.

Find the number of people that could be represented by these two extremes:

2.5% of 1150 people or \(0.025 \times 1150 = 28.75\) people
3.4999......% of 1150 people or \(0.03499 \times 1150 = 40.24\) people.

Hence 30, 35, 40 are possible options. Hence option C, D and E are correct.
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Re: A survey asked 1,150 people to choose their favorite laundry [#permalink] New post 24 Mar 2017, 14:58
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Carcass wrote:


A survey asked 1,150 people to choose their favorite laundry detergent from brands A, B, and C. Of the people surveyed, x percent chose A as their favorite brand. If x is rounded to the nearest integer, the result is 3. Which of the following could be the number of people who chose A as their favorite brand?
Indicate all such numbers.

❑ 20
❑ 25
❑ 30
❑ 35
❑ 40
❑ 45
❑ 50

[Reveal] Spoiler:
C,D, and E


Since x rounded to the nearest INTEGER is 3, we know that 2.5 ≤ x < 3.5
2.5% of 1150 = 28.75
3.5% of 1150 = 40.25

So, 28.75 ≤ number of people who chose A < 40.25

Answer:
[Reveal] Spoiler:
C, D, E


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Brent
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Re: A survey asked 1,150 people to choose their favorite laundry [#permalink] New post 14 Aug 2018, 15:16
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As they said X is rounded to the nearest integer, i.e. 3, the range is 2.51<x<3.49
so 2.51% of 1150 = 28.86
3.49% of 1150 = 40.135
SO the answer is 30,35 and 40.
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Re: A survey asked 1,150 people to choose their favorite laundry [#permalink] New post 15 Aug 2018, 17:53
Creating an inequality equation helps in such questions.
Re: A survey asked 1,150 people to choose their favorite laundry   [#permalink] 15 Aug 2018, 17:53
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A survey asked 1,150 people to choose their favorite laundry

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