V group of 65 students 40 students want to be doctor and 20 to be social worker the number of student who want to be doctor only and that who want to be social worker only are in the ratio 3:1 by drawing on Venn diagram find. how many want both if them and how many want to be neither of them?
Answers
Given : group of 65 students 40 students want to be doctor and 20 to be social worker
the number of student who want to be doctor only and that who want to be social worker only are in the ratio 3:1
To find: how many want both if them
how many want to be neither of them
Solution:
Total = 65
Doctor D = 40
Social worker S = 20
Both D ∩ S = B
Only Doctor = 40 - B
Only social worker = 20 - B
(40 - B)/(20 - B) = 3/1
=> 40 - B = 60 - 3B
=> 2B = 20
=> B = 10
D ∩ S = 10
want both = 10
Total = D + S - D ∩ S + None
=> 65 = 40 + 20 - 10 + None
=> None = 15
neither of them = 15
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Answer:
Total = 65
Doctor D = 40
Social worker S = 20
Both D ∩ S = B
Only Doctor = 40 - B
Only social worker = 20 - B
(40 - B)/(20 - B) = 3/1
=> 40 - B = 60 - 3B
=> 2B = 20
=> B = 10
D ∩ S = 10
want both = 10
Total = D + S - D ∩ S + None
=> 65 = 40 + 20 - 10 + None
=> None = 15
neither of them = 15
Step-by-step explanation: