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What is the ratio of the number of people in group 2 with th

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Joined: 18 Apr 2015
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Kudos [?]: 1253 [0], given: 5955

What is the ratio of the number of people in group 2 with th [#permalink]  30 Jan 2016, 17:34
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Question Stats:

100% (00:37) correct 0% (00:00) wrong based on 3 sessions
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What is the ratio of the number of people in group 2 with the ailment sneezing and itchy eyes to the total number of people in both groups with the ailment sneezing and itchy eyes?

Practice Questions
Question: 20
Page: 471
Difficulty: medium

[Reveal] Spoiler: OA
$$\frac{44}{68}$$

_________________
Founder
Joined: 18 Apr 2015
Posts: 6562
Followers: 107

Kudos [?]: 1253 [0], given: 5955

Re: What is the ratio of the number of people in group 2 with th [#permalink]  30 Jan 2016, 17:36
Expert's post
Solution

In group 2, there are 400 people, 11% of whom have sneezing and itchy eyes. Therefore, in group 2, there are (0.11)(400) people, or 44 people, who have sneezing and itchy eyes. In group 1, there are 300 people, 8% of whom have sneezing and itchy eyes. Therefore, in group 1, there are (0.08)(300) people, or 24 people, who have sneezing and itchy eyes. So the total number of people in both groups who have sneezing and itchy eyes is 24+44, or 68. Thus, the ratio of the number of people in group 2 who have sneezing and itchy eyes to the total number of people in both groups who have sneezing and itchy eyes is $$\frac{44}{68}$$

The answer is $$\frac{44}{68}$$
_________________
Re: What is the ratio of the number of people in group 2 with th   [#permalink] 30 Jan 2016, 17:36
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