## Friday, July 24, 2009

### A Class of Few

A class of students took a test. The results were mixed. One-third of the class received a B, one-fourth received a c, one-sixth received a D and one-eighth of the class flunked. Everyone else got an A.

How many students in the class got an A on the test (I'm not looking for a proportion here, but a real number).

Look below for a hint:

Hint: There is more than one possible answer, but if you restrict the class size to fewer than 30, you can find the first one.

Hint 2: Yes, this is a math question ;-)

1. The number of kids in the class is 24n (24 is the lowest common multiple of the denominators of the fractions). 3n kids scored an A (what's left when you subtract all the other scores).

There are an infinite number of correct answers, unless you set an upper limit for class size. If that limit is 30, n=1 and 3 kids scored A's.

That was fun!

2. 3. whatever number it is it has to be divided by 3,4,6,8 and not give a remainder. the smallest number that fits this condition is 24. so number of As = 24-8-6-4-3 = 3

4. funness :) i havnt done math all summer! i got 3 cuz all those numbers go into 24 (24 can be divided by all those numbers) so i made all the fractions hav the same denominator (24) and then added all those nominators and subtracted that number i got from 24 and got three :] if anyone understood that...im horrible at explanations.

5. ..~.~..MATH!..~.~..

..NEVER EVER FAILS to make the life of students DIFFICULT!!!..~.~..

..my answer is the same as the others though..^^

6. three people got an A. I figured that one out without trying to haha, I was only planning on writing the fraction of students that got an A and in the process of finding the same denominator I realized that the fraction 3/24 was the answer!!!!! Wow not as hard as I thought it was going to be lol :D

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