SOLUTION: Commuting students. At a well-known university, 1/4 of the undergraduate students commute, and 1/3 of the graduate students commute. One-tenth of the undergraduate students driv

Question 196602: Commuting students. At a well-known university, 1/4 of the
undergraduate students commute, and 1/3 of the graduate
students commute. 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 the commuters drive more
than 40 miles daily?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Commuting students. At a well-known university, 1/4 of the undergraduates
commute; 1/3 of the graduates commute. 1/10 of the undergraduates drive more
than 40 miles daily and 1/6 of the graduates drive more than 40 miles daily.
If there are twice as many undergrads as there are grad students,
then what fraction of the commuters drive more than 40 miles daily?
:
Let's use a convenient number for the total students: 720 has a lot of factors
:
It says,"there are twice as many undergrads as there are grad students,"
That would give us us 480 undergrads, and 240 grads for a total of 720
:
1/4 of the undergraduates commute;
* 480 = 120
:
1/3 of the graduates commute.
* 240 = 80
:
1/10 of the undergraduates drive more than 40 miles daily
* 480 = 48
:
1/6 of the graduates drive more than 40 miles daily.
* 240 = 40
:
what fraction of the commuters drive more than 40 miles daily?
Total commuters: 120 + 80 = 200
Total commuters drive more than 40 mi: 48 + 40 = 88
:
Then: = of the commuters commute over 40 mi

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