SOLUTION: I am having problems with this problem, I would appreciate it if you can explain it to me. At a university, 1/4 of the undergraduate students commute, and 1/3 of graduate commut

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Question 285539: I am having problems with this problem, I would appreciate it if you can explain it to me.
At a university, 1/4 of the undergraduate students commute, and 1/3 of graduate commute. One-tenth of the undergraduates drive more than 40 miles daily, and 1/6 graduate drive more than 40 miles daily. If there are twice as manyu undergraduate students as there are graduate students, then what function of the commuters drive more than 40 miles daily?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the number of graduate students
given:
Number of undergrads = 2x
%281%2F3%29%2Ax grads commute
%281%2F4%29%2A2x undergrads commute
%281%2F6%29%2Ax drive more than 40 mi/day
%281%2F10%29%2A2x drive more than 40 mi/day
The total number of commuters are:
%281%2F3%29%2Ax+%2B+%281%2F4%29%2A2x+=+%281%2F3%29%2Ax+%2B+%281%2F2%29%2Ax
%282%2F6%29%2Ax+%2B+%283%2F6%29%2Ax+=+%285%2F6%29%2Ax
The number who drive more than 40 mi/day are:
%281%2F6%29%2Ax+%2B+%281%2F10%29%2A2x+=+%281%2F6%29%2Ax+%2B+%281%2F5%29%2Ax
%285%2F30%29%2Ax+%2B+%286%2F30%29%2Ax+=+%2811%2F30%29%2Ax
The fraction of commuters who drive more than 40 mi/day are:
%28%2811%2F30%29%2Ax%29+%2F+%28%285%2F6%29%2Ax%29
%2811%2F30%29+%2F+%2825%2F30%29
11%2F25 answer
Hope I got it