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In Company X , 30 percent of the employees live over ten mi
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04 Feb 2020, 07:47
04 Feb 2020, 07:47
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In Company X , 30 percent of the employees live over ten miles from work and 60 percent of the employees who live over ten miles from work are in car pools. If 40 percent of the employees of Company X are in car pools, what percent of the employees of Company X live ten miles or less from work and are in car pools?
(A) 12%
(B) 20%
(C) 22%
(D) 28%
(E) 32%
(A) 12%
(B) 20%
(C) 22%
(D) 28%
(E) 32%
Re: In Company X , 30 percent of the employees live over ten mi
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04 Feb 2020, 10:31
04 Feb 2020, 10:31
Expert Reply
Total number can be assumed as 100 as the question is gives only percents and no concrete numbers
Number of employees who live more than 10 miles away, and carpool = 30*\(\frac{60}{100}\) = 18
Total number of employees who car pool is given as 40% = 40
Number of employees who car live 10 miles or less and carpool = 40-18 = 22 or 22%
Answer C
Number of employees who live more than 10 miles away, and carpool = 30*\(\frac{60}{100}\) = 18
Total number of employees who car pool is given as 40% = 40
Number of employees who car live 10 miles or less and carpool = 40-18 = 22 or 22%
Answer C
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In Company X , 30 percent of the employees live over ten mi
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04 Jun 2020, 08:30
04 Jun 2020, 08:30
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Asif123 wrote:
In Company X , 30 percent of the employees live over ten miles from work and 60 percent of the employees who live over ten miles from work are in car pools. If 40 percent of the employees of Company X are in car pools, what percent of the employees of Company X live ten miles or less from work and are in car pools?
(A) 12%
(B) 20%
(C) 22%
(D) 28%
(E) 32%
(A) 12%
(B) 20%
(C) 22%
(D) 28%
(E) 32%
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 employees , and the two characteristics are:
- lives over ten miles from work or doesn't live over ten miles from work
- uses carpool or doesn't use carpool
Here's how we can set up the Matrix:
I'll let you complete the diagram.
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Cheers,
Brent
