Set theory business problem

[bluepanda]

Hi all,

I have a very specific problem of business math involving data sets. Would anyone know how to solve it?
There are in total 558 schools. Share of schools that have students of particular age is given here:

0-5: 499 schools 89% A
5-11: 353 schools 63% B
11-13: 310 schools 56% C
13-16: 306 schools 55% D
16-18: 235 schools 42% E

That is, 89% of schools teach 0-5 year-old kids but obviously some of them also have older pupils (category A may intersect with any other etc.). The questions are: 1) how many schools have students of age 5-18 (i.e., categories BCDE) and 2) how many schools have students of age 11-18 (i.e., categories CDE)?

Is it possible to answer it with the given data at all?
Thanks!

 

[Deleted member 4993]

Hi all,

I have a very specific problem of business math involving data sets. Would anyone know how to solve it?
There are in total 558 schools. Share of schools that have students of particular age is given here:

0-5: 499 schools 89% A
5-11: 353 schools 63% B
11-13: 310 schools 56% C
13-16: 306 schools 55% D
16-18: 235 schools 42% E

That is, 89% of schools teach 0-5 year-old kids but obviously some of them also have older pupils (category A may intersect with any other etc.). The questions are: 1) how many schools have students of age 5-18 (i.e., categories BCDE) and 2) how many schools have students of age 11-18 (i.e., categories CDE)?

Is it possible to answer it with the given data at all?
Thanks!

Also posted at:

http://mathoverflow.net/questions/243708/set-theory-in-business-question

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[stapel]

There are in total 558 schools. Share of schools that have students of particular age is given here:

0-5: 499 schools 89% A
5-11: 353 schools 63% B
11-13: 310 schools 56% C
13-16: 306 schools 55% D
16-18: 235 schools 42% E

Without knowing the sizes of the overlaps (for instance, how many five-year-olds are double-counted), I see no way to proceed.

Please reply with the full and exact text of the exercise, the complete instructions, any formulas, etc, that you feel your instructor expects you to apply, and a clear listing of your efforts so far. Thank you!