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In a town of 8,000 residents, 65 percent of all residents own a car, 5
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06 May 2021, 05:15
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In a town of 8,000 residents, 65 percent of all residents own a car, 55 percent own a motorcycle, and 25 percent own neither a car nor a motorcycle. How many residents own a car but not a motorcycle?
Re: In a town of 8,000 residents, 65 percent of all residents own a car, 5
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06 May 2021, 05:38
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Carcass wrote:
In a town of 8,000 residents, 65 percent of all residents own a car, 55 percent own a motorcycle, and 25 percent own neither a car nor a motorcycle. How many residents own a car but not a motorcycle?
One approach is to use the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions). Here, we have a population of residents, and the two characteristics are: - own a car or do not own a car - own a motorcycle or do not own a motorcycle
65% of 8000 = 5200 55% of 8000 = 4400 25% of 8000 = 2000
So, our matrix looks like this so far:
Since there are 8000 resident altogether, we know that, if 5200 own a car, then 2800 do NOT own a car And, if 4400 own a motorcycle, then 3600 do NOT own a motorcycle We get:
When we fill in the rest of the matrix we get:
We can see that 1600 residents own a car but not a motorcycle.
Answer: B
To learn more about the Double Matrix Method, watch this video:
Re: In a town of 8,000 residents, 65 percent of all residents own a car, 5
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19 Oct 2023, 11:30
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Re: In a town of 8,000 residents, 65 percent of all residents own a car, 5 [#permalink]