Question 36192
Number of graduate students = x
Number of undergraduate students = 2x
Based on the question:
Number of graduate students who commute = x/3
Number of undergraduate students who commute = 2x/4 = x/2
Total commuters = x/3+x/2 = 5x/6.
Number of graduate students driving above 40 miles = x/6
Number of undergraduate students driving above 40 miles = 2x/10 = x/5
Total number of students driving above 40 miles = x/6 + x/5 = 11x/30.
If y fraction of the commuters drive more than 40 miles daily,
y*(Total commuters) = Population driving over 40 miles.
So, y*(5x/6) = 11x/30
=> y = (11x/30)(6/5x) = (11*6)/(30*5) = 11/25
Answer: 11/25