What is the Number of Einstein's Students?

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In summary, Einshtein once was asked about the number of his students, he said: 1/5 of my students study maths, 1/7 study chemistry, 20 students doesn't study at all.
  • #1
chawki
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Homework Statement


Einshtein once was asked about the number of his students, he said: 1/5 of my students study maths, 1/7 study chemistry, 20 students doesn't study at all.

Homework Equations


How many students does he have?

The Attempt at a Solution


My guess was 20.
I hope my answer is at least close to the right answer, there are many ways on how to look to this problem..
 
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  • #2


chawki said:

Homework Statement


Einshtein once was asked about the number of his students, he said: 1/5 of my students study maths, 1/7 study chemistry, 20 students doesn't study at all.
If you assume that the options are exclusive and account for all of the students then you get fractional students. The original, from Page 193 of Mathematical fun, games and puzzles by Jack Frohlichstein is 1/2 study maths, 1/3 study geometry, 1/7 study chemistry, 20 don't study at all. and doesn't have this problem
 
  • #3
ok, so what about the answer ?
 
  • #4
Take X as the total number of students:

X*(1/2 + 1/3 + 1/7) + 20 = X

Then use your algebra.
 
  • #5
chawki said:

Homework Statement


Einshtein once was asked about the number of his students, he said: 1/5 of my students study maths, 1/7 study chemistry, 20 students doesn't study at all.

Homework Equations


How many students does he have?

The Attempt at a Solution


My guess was 20.
I hope my answer is at least close to the right answer, there are many ways on how to look to this problem..
That's not even a good guess. If he has 20 students and 20 "don't study at all", he couldn't possibly have "1/4 study maths 1/7 study chemistry".

I suspect that you did not actually "guess". You heard the number 20 and echoed it. That reminds me of the girl who was asked on a quiz to name the country directly east of Germany- her answer, "Germany"!
 
  • #6
Perhaps the 1/7 who study chemistry also study math. That would give 25 students total.

If the 1/7 & 1/5 are exclusive, then there are at least 30 & 10/23 students.
 
  • #7
HallsofIvy said:
That's not even a good guess. If he has 20 students and 20 "don't study at all", he couldn't possibly have "1/4 study maths 1/7 study chemistry".

I suspect that you did not actually "guess". You heard the number 20 and echoed it. That reminds me of the girl who was asked on a quiz to name the country directly east of Germany- her answer, "Germany"!

I don't like your attitude.
It was my guess, I had about 10 seconds left, and I thought ''he has at least 20, so i wrote 20 students'' Not much time to think about it or to do fraction calculations.

You can't just use the fact of being a mentor and suspect things on me.
Keep your words under control, You can't just come here and say that i heard things and i wrote them, and furthermore you make a joke about me when you mention that girl story or what ever you encountered during your career... who cares...If you don't know how to provide help or you don't know the solution, you better be quiet rather than assuming things on people you don't even know.

And one more thing, read the problem as i wrote it in post #1 ''Einshtein once was asked about the number of his students, he said: 1/5 of my studen ts study maths, 1/7 study chemistry, 20 students doesn't study at all''.
 
  • #8
I don't think H.o.I was trying to be mean spirited, although I can see how you read that post that way. I've read lots of his posts, and that would be very uncharacteristic of H.o.I.
 
  • #9
chawki said:
I don't like your attitude.
It was my guess, I had about 10 seconds left, and I thought ''he has at least 20, so i wrote 20 students'' Not much time to think about it or to do fraction calculations.

You can't just use the fact of being a mentor and suspect things on me.
Keep your words under control, You can't just come here and say that i heard things and i wrote them, and furthermore you make a joke about me when you mention that girl story or what ever you encountered during your career... who cares...If you don't know how to provide help or you don't know the solution, you better be quiet rather than assuming things on people you don't even know.

And one more thing, read the problem as i wrote it in post #1 ''Einshtein once was asked about the number of his students, he said: 1/5 of my studen ts study maths, 1/7 study chemistry, 20 students doesn't study at all''.

You had like 10 seconds to think about that. Yes, but did you mention that in the first post? How are we supposed to know that you did have 10 seconds to make that guess?

And one more thing, didn't you think about that problem after the test? If you did, then it was not true that you only had 10 seconds to make that guess! There is plenty of time after the test, no?

Moreover, how can 7 ever divide 20? Is your guess even valid? How much time do you need to justify this guess?

Yes, I know that you may take HallsofIvy's post to be offensive. But doing Maths is not just about making guess(es). Making guess is only one stage of it. Other stages are justifying, and proving that guess.
 
  • #10
Thread closed by berkeman
 

1. What is the Einstein logical problem?

The Einstein logical problem, also known as the Einstein riddle or the Zebra puzzle, is a logic puzzle that involves a set of clues and requires the solver to use deductive reasoning to determine the correct solution.

2. Who created the Einstein logical problem?

The Einstein logical problem was not created by Albert Einstein, despite its name. It was created by an unknown author and first appeared in a book published in 1960.

3. How is the Einstein logical problem solved?

The Einstein logical problem is solved by using the clues provided to eliminate possibilities and narrow down the options until only one solution remains. It requires logical thinking and careful consideration of all the information given.

4. How difficult is the Einstein logical problem?

The difficulty of the Einstein logical problem varies depending on the individual's level of logical thinking and problem-solving skills. Some people may find it challenging, while others may find it easier to solve.

5. Are there any tips for solving the Einstein logical problem?

Some tips for solving the Einstein logical problem include starting with the clues that have the most restrictions, keeping track of all the eliminated possibilities, and using a process of elimination to narrow down the options. It can also be helpful to make a grid or chart to organize the information and visually see the connections between clues.

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