Q. How many students are in Sally's class?

In summary, the question posed is how many students are in Sally's class if she is the 50th best and 50th worst student. Based on the given information, it can be inferred that there are 49 students better than Sally and 49 students worse than Sally, making the minimum number of students in her class 99. However, if there are any ties for the 50th position, the number of students in her class could be any natural number equal to or greater than 99.
  • #1
Peter Pan
32
0
This question is making me angry. I think I know the answer but I have some co-workers that disagree.

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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  • #2
i think the answer is 50
 
  • #3
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
Let's try something shorter. If Sally were 3rd best and also 3rd worst, the rankings would look like this:

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
Well, you also need to make sure there are no ties for 50th
 
  • #6
Assume to ties
 
  • #7
1st /5th /Cheryl
2nd /4th /Laura
3rd /3rd /Sally <---
4th /2nd /Anne
5th /1st /Betty
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=99
The answer then, is 99.
EDIT: When I subtract 1, I am subtracting Sally.
 
  • #8
well the way i worked it out is 50th best would mean 49 people in front of her were better, and 49 people in front of her were worse...so that's how i came up with a total of 50...but 99 also makes sense...
 
  • #9
Originally posted by Kerrie
well the way i worked it out is 50th best would mean 49 people in front of her were better, and 49 people in front of her were worse...so that's how i came up with a total of 50...but 99 also makes sense...

Yes, 49 people in front of her were better, but 50 plus 49 is 99.
 
  • #10
Simple

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
"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."

What is your point?
 
  • #12
Theres no additional information to determine the number of students in Sally's class.

The statement you gave merely states that Sally is in the 50th position.
 
  • #13
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.
 
  • #14
The statement simply implies that there are 49 students better than sally and 49 students worse, so the minimum number of students in her class in 99. As there can be infinite many students having the same grade as her, there can be infinite many students in tie for the 50th place. Thus the number of students in her class can be any of the natural numbers that is greater than or equal to 99.
 
  • #15
As someone said, 99. As someone else said, you must make sure there are no ties. Also, there is the option that all people got the same score.
 

1. Who are the students in Sally's class?

The students in Sally's class are a diverse group of individuals with varying backgrounds, interests, and abilities. They all attend the same school and are in the same grade level as Sally.

2. What is the class size?

The class size varies from year to year, but on average there are about 25 students in Sally's class.

3. What subjects does Sally's class cover?

Sally's class covers a range of subjects, including math, science, English, social studies, and art. They also have special classes for physical education and music.

4. How is the class structured?

The class is structured into different periods, with each period focusing on a different subject. There are also breaks and lunch periods throughout the day. The teacher follows a curriculum set by the school district and may incorporate hands-on activities, group projects, and individual assignments into the class structure.

5. Are there any notable achievements among the students in Sally's class?

Yes, there have been many notable achievements among the students in Sally's class. Some have received academic awards, while others have excelled in sports, music, or other extracurricular activities. Some students have also participated in community service projects and have made a positive impact in their community.

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