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Q. Sally is the 50th best student in her class and the 50th worst. How many students are in her class?

A. 101, 100, 99, 50

I believe the anwser is 99

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- Thread starter Peter Pan
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- #1

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Q. Sally is the 50th best student in her class and the 50th worst. How many students are in her class?

A. 101, 100, 99, 50

I believe the anwser is 99

- #2

Kerrie

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i think the answer is 50

- #3

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I think 50 is the answer

Tell my how you came up with that. This is why I believe the answer is 99.

If sally is the 50th best student in her class, that means there are 49 student who are better. Also, if Sally is the 50th worst student, that means there are 49 that are worse than her

49 better + 49 worse + sally = 99

- #4

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best rank/worst rank/name

1st /5th /Cheryl

2nd /4th /Laura

3rd /3rd /Sally <---

4th /2nd /Anne

5th /1st /Betty

Note that 1st best simply means "the best" and 1st worst simply means "the worst".

There are 5, or 2(3)-1 class members. I don't think it makes any significant difference for 50th best and 50th worst. So, the number of members ought to be 2(50)-1 = 99, and you, Peter, are correct.

Of course, if some class members have equal rank, then more members are required.

- #5

NateTG

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Well, you also need to make sure there are no ties for 50th

- #6

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Assume to ties

- #7

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Seems like the answer has to be 99. There are no ties, and Sally is 3rd best and 3rd worst out of five. There are not 6 people in the group, but five because a number has to be odd to have a middle integer. 3 is Sally's rank. 3x2-1=5. So, for Peter Pans's question: 50 is Sally's rank. 50x2-1=991st /5th /Cheryl

2nd /4th /Laura

3rd /3rd /Sally <---

4th /2nd /Anne

5th /1st /Betty

The answer then, is 99.

EDIT: When I subtract 1, I am subtracting Sally.

- #8

Kerrie

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- #9

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Originally posted by Kerrie

Yes, 49 people in front of her were better, but 50 plus 49 is 99.

- #10

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If she's the 50th best that would mean she's number 50 from the top.

If she's the 50th worst that would also mean she's the 50th from the

top. Both are saying the same exact thing but they are worded different, really simple. Thanks

- #11

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If she's the 50th worst that would also mean she's the 50th from the

top. Both are saying the same exact thing but they are worded different, really simple."

What is your point?

- #12

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The statement you gave merely states that Sally is in the 50th position.

- #13

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Theres no additional information to determine the number of students in Sally's class.

I disagree. The question states that sally is both the 50th best and worst student in her class.

50th best implies that 49 students have done better.

50th worst implies that 49 students have done worst.

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- #15

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