SOLUTION: At the local community college, 1/4 of the undergraduates commute, 1/10 of the undergrads commute more than 40 miles daily, and 1/6 of the graduate students drive more than 40 mile

Question 59730: At the local community college, 1/4 of the undergraduates commute, 1/10 of the undergrads commute 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 stuents as there are graduate students, then what fraction of the commuters drive more than 40 miles a day?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
At the local community college, 1/4 of the undergraduates commute, 1/10 of the undergrads commute 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 stuents as there are graduate students, then what fraction of the commuters drive more than 40 miles a day?
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Let number of graduate students be "x".
The number of undergrads is 2x
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(1/4)(2x)=(1/2)x commute:
(1/10)(2x)=(1/5)x commute more than 40 miles:
(1/6)(x) drive more that 40 miles daily
Comment:
The last two statements are contradictory.
Cheers,
Stan H.

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