### Brain Teasers

# How Many Students Got an A?

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`?

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

So the only possible grades at this school

are A, B, B-, C, and F? No B+, A-, C+, etc.?

are A, B, B-, C, and F? No B+, A-, C+, etc.?

Just because no one received a certain grade doesn't mean they couldn't.

Wow, I haven't used common denometers in years! I totally forgot!

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?"

--- 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?"

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)

I GOT IT!!! In my head too! This is the first one i did in my head.......RIGHT!!!!!!

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....

I say there's 27 kids in the class, and nothing in the teaser says I can't....

ummm In my school a D isnt failing...so that kinda threw me off

yeah same here. Actually D is never failing.

i did that in my head too! yay!

i dont get CANU's comment at all

i dont get CANU's comment at all

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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