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May 29, 2015

Homework Help: math...2 word problems

Posted by M.A. on Wednesday, June 17, 2009 at 9:39am.

Two questions:

(1) In a class every boy is friends with exactly 3 girls. Every girl is friends with exactly 2 boys. There are only 19 desks (each holding at most two students), and 31 of the students in the class study French. How many students are there?

(2) A smaller circle rolls along the inside curve of a larger circle. The diameter of the larger circle is 3 times that of the smaller circle. How many revolutions does the small circle have to make to complete the inside curve of the larger circle?

I think the answer is 3. If I cut the circles and lay them flat on the ground, the larger circle is 3 times longer than the smaller circle. So the smaller circle would have to revolve 3 times in order to equal the distance inside the larger circle. Is that correct?

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