SOLUTION: All pupils in a class took part in a test. 3 passed in English only 27 passed in Maths 26 passed in French 2 passed in both English and French 21 passed in both Maths and Eng

Question 1145195: All pupils in a class took part in a test.
3 passed in English only
27 passed in Maths
26 passed in French
2 passed in both English and French
21 passed in both Maths and English
20 passed in both Maths and French
15 passed in all three subjects
7 failed in all three subjects
Questions:
1) Show all information on a venn diagram
2) Calculate the number of pupils in the class
Found 2 solutions by ikleyn, richwmiller:
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
I am not sure how to handle the 7 who failed all three.
There is a problem with 2 passed in both English and French and 15 passed in all three subjects
They contradict each other.
Where I have 17 there should be 2 if we took the wording as stated.
So first only those who passed

Now with the 7 failed

RELATED QUESTIONS
in a group of students 50 passed in english 60 passed in maths and 40 passed in both the... (answered by addingup)
In my maths class, only 40% of the class passed our first test. If only twelve students... (answered by stanbon)
There are a group of 48 students enrolled in mathematics, french and physics. Some... (answered by ikleyn)
a class of 38 students took two tests in local history. 32 students passed test 1 and 34... (answered by ikleyn)
40 children in the class 32 passed what percentage... (answered by harpazo)
In a classroom 63% of student passed in hindi and 71% student passed in english 18%... (answered by ikleyn)
Of 40 students in a class, 28 passed. What percentage of the students passed? (answered by rapaljer)
Of 30 students in a class, 15 passed. What percentage of the students... (answered by stanbon)
Of 32 students in a class, 28 passed. What percentage of the students passed? (answered by stanbon,doukungfoo)