SOLUTION: Commuting students. At a well know university, � of the undergraduate students commute, and 1/3 of the graduate students comminute. One tenth of the undergraduate students drive m

Question 58714: Commuting students. At a well know university, � of the undergraduate students commute, and 1/3 of the graduate students comminute. One tenth 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
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Commuting students. At a well know university, � of the undergraduate students commute, and 1/3 of the graduate students comminute. One tenth 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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