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A recent survey of all auto accident victims in Dole County found that

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Intern
Intern
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B
Joined: 14 Jun 2013
Posts: 13
GMAT 1: 690 Q50 V33
GMAT 2: 740 Q48 V44
Re: A recent survey of all auto accident victims in Dole County found that  [#permalink]

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New post 03 Oct 2015, 03:29
1
A recent survey of all auto accident victims in Dole County found that, of the severely injured
drivers and front-seat passengers, 80 percent were not wearing seat belts at the time of their
accidents. This indicates that, by wearing seat belts, drivers and front-seat passengers can
greatly reduce their risk of being severely injured if they are in an auto accident.

Total Accidents - 100
Acc with Serious injuries - 10
Acc W/O seat belt and serious injuries (80%) - 8
Acc With seat belt and serious injuries - 2
Total no of people who wear seat belt = 10 (Assumption)
Total no of people who don't wear seat belt = 90 (Assumption)
% of people who wear seat belt and still have fatal injuries = 2/10 = 20%
% of people who don't wear seat belt and have fatal injuries = 8/90 = 8.88%

Hence wearing seat belt increases the chance of fatal injuries in accident. DO NOT WEAR SEAT BELTS.
Senior Manager
Senior Manager
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G
Joined: 02 Apr 2014
Posts: 477
GMAT 1: 700 Q50 V34
Re: A recent survey of all auto accident victims in Dole County found that  [#permalink]

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New post 04 Oct 2017, 01:45
Hi,

This is pure Quants problem landed in CR bucket.

The argument wants to show wearing seat belts is safety.

how? by showing -

(no of serious accidents with seat belts / no of accidents with seat belts) < (no of serious accidents with NO seat belts / no of accidents with NO seat belts)

So if above ratio is true, wearing seat belt is safety and people are less prone to serious accidents

Given data: no of serious accidents with seat belts- 20%
no of serious accidents with NO seat belts - 80%

Let no of serious accidents be 10, so
no of serious accidents with seat belts- 2
no of serious accidents with NO seat belts - 8

Let number of total accidents be 100
no of accidents with seat belts = x
no of accidents with NO seat belts = 100 - x

And question is indirectly asking, what is the value of x or rather, what is range of x

now substitute in ratio equation we defined,
(no of serious accidents with seat belts / no of accidents with seat belts) < (no of serious accidents with NO seat belts / no of accidents with NO seat belts)
(2/x) < (8 / (100-x))
rearranging => 200 + 2x < 8x => 20 < x

So x (no of accidents with seat belts) > 20

Wow, this is what answer choice A says !! Bingo !! - safely eliminate other answer choices all we do in quants section - problem solving, once we find the right answer.

To be honest, I didnt get this question correct at first, by after reading all explanations, tried to come up with my own reasoning.
Re: A recent survey of all auto accident victims in Dole County found that &nbs [#permalink] 04 Oct 2017, 01:45

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