SOLUTION: Problem #1 At a well known university ¼ of the undergraduate students commute and 1/3 of the graduate students commute. 1/10 of the undergraduate student drive more than 40 mils

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Question 102859: Problem #1
At a well known university ¼ of the undergraduate students commute and 1/3 of the graduate students commute. 1/10 of the undergraduate student drive more than 40 mils daily and 1/6 of the graduate students drive more than 40 miles daily. If there are twice as many graduate students then what fractions of the commuters drive more than 40 miles daily?

Please help me with the above. Thank you so much!!!!!!!!!!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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?
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Let's use a convenient number for the total students: 720 has a lot of factors
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It says,"there are twice as many undergrads as there are grad students,"
That would give us us 480 undergrads, and 240 grads
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1/4 of the undergraduates commute;
1%2F4 * 480 = 120
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1/3 of the graduates commute.
1%2F3 * 240 = 80
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1/10 of the undergraduates drive more than 40 miles daily
1%2F10 * 480 = 48
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1/6 of the graduates drive more than 40 miles daily.
1%2F6 * 240 = 40
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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
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Then: 88%2F200 = 11%2F25 of the commuters commute over 40 mi
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How about this? Did it make sense to you?