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Do the following. Represent the sets and draw a Venn Diagram.
1. Among the 70 residents in Barangay General P. Santos, 53 liked eating in
Restaurant A while 42 liked eating in Restaurant B. How many liked
eating both in Restaurant A and Restaurant B? In Restaurant A only? In
Restaurant B only?
2. The following diagram shows how all the Grade Seven students of
Koronadal National Comprehensive High School go to school.
Tricycle
Walking
100
76
Answers
Answer:
How many Grade Seven students of Koronadal National Comprehensive High School are there in all? . 1. See answer.
227 votes
a.34 students ride in a carb.34 students too ride in a carc.3 students ride both in a car Ang motorcycled.12 students..e.23f 11Step-by-step explanation:keep ...
Given :- Among the 70 residents in Barangay General P. Santos, 53 liked eating in Restaurant A while 42 liked eating in Restaurant B.
A) How many liked eating both in Restaurant A and Restaurant B ?
B) In Restaurant A only ?
C) In Restaurant B only ?
Solution :-
we know that,
- n(AUB) = n(A) + n(B) - n(A∩B) .
given that,
- Total residents in Barangay General P. Santos = n(AUB) = 70
- Residents like in eating Restaurant A = n(A) = 53 .
- Residents like in eating Restaurant B = n(B) = 42 .
- liked eating both in Restaurant A and Restaurant B = n(A∩B)
- In Restaurant A only = n(A) - n(A∩B) .
- In Restaurant B only = n(B) - n(A∩B) .
So,
→ n(AUB) = n(A) + n(B) - n(A∩B)
→ n(A∩B) = n(A) + n(B) - n(AUB)
→ n(A∩B) = 53 + 42 - 70
→ n(A∩B) = 95 - 70
→ n(A∩B) = 25 . (Ans. A)
Therefore,
→ In Restaurant A only = n(A) - n(A∩B) = 53 - 25 = 28 .(Ans. B)
→ In Restaurant B only = n(B) - n(A∩B) = 42 - 25 = 17 .(Ans. C)
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