Use a Venn diagram with 3 overlapping circles named after the reason for failing, use C, H, T as suggested as their labels
Place 8 in the intersection of all three.
Now work on the intersection of two at a time.
e.g. 14 would go in the intersection of C and T, but we already counted 8 of those. So 6 would go in the intersection of C and T, not part of the intersection of all three.
Continue like that for the other 2 pairs of intersection.
Now look at each of the whole circles. Keep in mind that some of the counts have already been entered, so fill in all the missing parts.
Now each of the individual questions can be answered.
From a group of 65 students who failed Business Mathematics in 2010 we found the following reasons: 35 for not attending class (C); 30 for not doing homework (H) and 25 for not visiting tutors (T). Fourteen did not attend class and did not visit tutors; 15 did not visit tutors and did
not do homework; 20 no homework and class attendance while 8 failed for all three reasons.
(b)How many failed……..
(i) for other reasons?
(ii) not because of homework?
(iii) attending class but not doing homework?
(iv) attending class and doing homework but not visiting tutors? (v) only because of no class attendance?
(vi) because of no class attendance or not visiting tutors?
(vii) visiting tutors but not doing homework?
(viii) not doing homework and no class attendance but visiting tutors
2 answers
I failed to answer, please help