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Question 1115899: 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.
(a) Create a Venn-diagram with information above
(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? T
(vii) visiting tutors but not doing homework?
(viii) not doing homework and no class attendance but visiting tutors?
Answer by JBnovelwriter(34)   (Show Source):
You can put this solution on YOUR website! for this u need to make 3 circles that overlap in the middle
Top circle will be T for tutors
Left bottom circle will be C for Not Attending class
right bottom circle will be H for No homework
with all 3 circles drawn on paper, u will see the middle space is overlapped by all 3 circles. and 8 goes there because there were "8 failed for all three reasons."
for circles T and C, 14 students were in common so 14-8=6 this fills in the portion that has only C and T overlapping
for circles T and H, 15 students were in common so 15-8=7 this fills in the portion that has only T and H overlapping
for circles H and C, 20 students were in common so 20-8=12 this fills in the portion that has only H and C overlapping
35 for not attending class in total
35-8-6-12= 9 students who only failed to not attending class
25 for not visiting tutors
25-8-7-6= 4 students who only failed to not visiting tutors
30 for not doing homework
30-8-7-12= 3 students who only failed to do homework
9+4+3+6+7+12+8= 49 students out of 65 total failures
so 65-49= 16 students that failed for other reasons
you should now be able to answer every question asked.
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