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In a class of 60 students,the number of students who passed biology is 6 more than the number who passed chemistry.Every student passed at least one of the two subjects and 8 students passed both subjects.How many students passed biology and chemistry.

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24 answers

  1. Let 'u' be total students in the school, n(u)=60.
    Let 'B' be number of biology, n(B)=?
    Let 'C' be number of Chemistry,n(C)=?
    Let n(B n C)=8.
    Let 'x' be those who sturdy chemistry only
    ✓sketch the Venn diagram and show all the information in it.
    That is:
    Write n(B)=? On top of first set
    Write n(C)=? On top of second set
    Write '6' in the first set
    Write 'x' in the second set
    Write '8' as intersection
    >Now add all the three regions and equate to the union.i.e
    (6 + 8 + x)=60
    14 + x =60
    X=46
    i. Number of biology= (6+8)=14
    ii.Number of Chemistry=(8+x)=(8+46)=56
    iii.Number of those who sturdy only one game=(6+x)=but x=46, so we have (6+46)=52.
    Let prove if we have our answers correct
    NB: Addition of the three regions should be equal to the union.
    We have (6+8+x)=60, but x= 46,so we have (6+8+46)=60
    60=60✓✓✓✓✓✓✓✓✓✓✓✓is correct

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  2. I like the way the answer was presented and it made me understand it very easily

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  3. It's cool I understand it very well.That is Fantastic.Bravo😀🤗🤩😁😜😛😇😺👩‍🏫

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  4. Let U = number of students in the class. =60
    Let B = students who passed Biology. = ?
    Let C = students who passed Chemistry.
    Let B n C = 8
    Let C = Any English alphabet, say x.
    Then biology will be x + 6 since students who passed Biology is 6 more than the number who passed Chemistry.
    Therefore (x +6) - 8 + 8 + x - 8 = 60
    2x - 2 = 60
    2x = 62
    x = 31
    Now, only Biology is (x + 6) - 8 =29, x = 31
    Only Chemistry is (x - 8) = 23, since x is 31
    B + B n C + C = U
    29 + 8 + 23 = 60

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  5. It's cool Fantastic

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  6. Please number of chemistry= (8+x)=(8+46)=56
    I think is 54 but not 56

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  7. Draw your Venn diagram. You can see that if x students passed chemistry, then
    x + x+6 - 8 = 60

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  8. I love your presentation, wonderful

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  9. Awesome thanks buddy but I don't think I can do it for now

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  10. Why didn't you draw the Venn diagram

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  11. Yes

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  12. Thanks

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  13. 💘❤️💓💔💕💖💗💙💚💛🧡💜🖤💝💞💙💟❣️I love your presentation

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  14. Why chemistry is even more higher than biology

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  15. I hate your answer 😠😤

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  16. Please are you sure that your answer is correct and complete

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  17. Pls I think it is 54

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  18. Although the first is superb but I prefer the second one.
    Because the first one addition of the numbers sum up to 54 not 56 and I think it’s a mistake there.
    Thank you very much

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  19. I prefer the second one,since that is what I was taught and I had the same answer but I think there is a mistake in the first one.👍👌🤗💯💓

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  20. What about students passed only one subjects

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