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## How Many Students Got an A?

Math brain teasers require computations to solve.

 Puzzle ID: #331 Fun: (2.57) Difficulty: (1.63) Category: Math Submitted By: Phyllis Corrected By: Atropus

The teacher has finished grading the math papers at West High School. The class size is under 30. One third of the class got a `B`, one fourth got a `B-` and one sixth got a `C`. One eighth of the class flunked and the remainder of the class received an `A`.

How many students in the class received an `A`?

Find a common denominator for 3, 4, 6 and 8. The only common denominator smaller than 30 is 24. Therefore, the class size was 24 and the grades were:
B: 8
B-: 6
C: 4
D/F: 3
The number of students who received A`s was 3 (24 - 21)

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 dewtell Jul 26, 2002 So the only possible grades at this school are A, B, B-, C, and F? No B+, A-, C+, etc.? Rowsdower Dec 24, 2003 Just because no one received a certain grade doesn't mean they couldn't. thebuddhawithin Jul 04, 2004 Wow, I haven't used common denometers in years! I totally forgot! canu Jul 13, 2004 The comment by dewtell is most apt. --- The correct answer to the teaser as stated is: "No more than 3." --- For the correct answer to be: "3", the question should be changed to something like: "The other students in the class received an A; how many were they?" stephiesd Dec 15, 2005 Yay!! not only did i get it, but i did it in my head. Yay for fraction review. (even though i hate them to death) smiley_lover Mar 07, 2006 I GOT IT!!! In my head too! This is the first one i did in my head.......RIGHT!!!!!! TehIgnored Mar 09, 2006 Just because 24 would be a common denominator, does not mean that's the number of kids in the class.....i dislike these teasers that leave out vital information, and then only offer up one answer based on a piece of information of the authors choosing, and I don't think they should be posted... I say there's 27 kids in the class, and nothing in the teaser says I can't.... Crazycriely Apr 22, 2006 ummm In my school a D isnt failing...so that kinda threw me off triskit Apr 22, 2006 yeah same here. Actually D is never failing. spazzyjazzy93 May 27, 2006 i did that in my head too! yay! i dont get CANU's comment at all eyenowhour Dec 19, 2006 If you get a score equivalent to a D in a pass/fail class, you would fail the class. However, if you were taking the class for a letter grade, you would pass the class with a D. I don't know why this is.