SOLUTION: 1/4 of undergrads commute. 1/3 of graduates commute. 1/10 of undergrads drive greater than 40 miles daily. 1/6 of graduates drive greater than 40 miles daily. If there are twice as

Question 63426: 1/4 of undergrads commute. 1/3 of graduates commute. 1/10 of undergrads drive greater than 40 miles daily. 1/6 of graduates drive greater than 40 miles daily. If there are twice as many undergrads as grads what fraction of commuters drive greater than 40 miles daily.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
1/4 of the undergraduate students commute, and 1/3 of the graduate students comminute. 1/10 of the undergraduate students drive more than 40 miles daily, and 1/6 of the graduate students drive more than 40 miles daily. If there are twice as many undergraduate students as there are graduate students, then what fraction of commuters drive more than 40 miles daily
:
The easiest way is to pick a total number of student, a
number that can be divided by all the involved fractions
Without giving us any fractional students. using all the
fractions involved: 4 * 3 * 6 * 10 = 720
:
Let's say a total of 720 student
:
Twice as many undergrads as grad:
240 grads, 480 undergrads
:
Undergrads that commute: 1/4 * 480 = 120
Undergrads that commute > 40 mi: 1/10 * 480 = 48
:
Grad students that commute: 1/3 * 240 = 80
Grad students that commute > 40 mi = 1/6 * 240 = 40
:
Total students that commute: 120 + 80 = 200
Total students that commute > 40 mi: 48 + 40 = 84
:
Fraction of commuters that drive > 40 mi = 84/200 = 21/50

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