How Many Students Got an A?
Math brain teasers require computations to solve.
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`?
Answer
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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Comments
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. |
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