Percentage problem

[Nycgrl]

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%


Pls explain the answer

[lordpapi63]

>10 <10 Total

CP 18 22 40


NCP 12 48 60


Total 30 70 100


Easier to solve with grid format. Use 100 to represent total employees easier with percentage and just plug in...[/img]

[cornell]

I am agree with Lordpapi63, we better use 100 employees to represent total employees for company X. But i want to describe different approach:

We knew that 30% of the employees live over 10 miles from work.

We found that 30 employees live over 10 miles from work --> 60% of it live in car pools = 30 x 60% = 18 employees


From total Company X's employees we know that 40% live in car pools --> 100 x 40% = 40 employees.

So the employees who live in car pools less than or equal to 10 miles = 40 - 18 = 22 employees.

(22/100) x 100% = 22%

Hence the answer is C