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Can you solve this problem? The total number of undergraduate students...

  1. Iamsam profile image82
    Iamsamposted 5 years ago

    Can you solve this problem?  The total number of undergraduate students...

    in a college is 270.  If 2/3 of the number of students in the Science Stream is same as 3/4 of the number of students in the Arts stream and 3/5 of the number of students in the Commerce stream, how many are the Science students?

    Options: a:75 ,     b: 80,   c: 90,     &   d: 100

  2. kittycriston profile image60
    kittycristonposted 5 years ago

    Uh aa! not sure! but waiting for others reply...

  3. profile image0
    JThomp42posted 5 years ago

    I will choose the answer to be B: 80.................................................

  4. drpennypincher profile image93
    drpennypincherposted 5 years ago

    I would say c, 90

    You can assume:
    Sci + arts + comm = 270

    Then substitute to put everything in terms of science students:
    Remember to scale art and comm students to the full population, not 3/4 and 3/5.

    Nice puzzle!

  5. profile image0
    calculus-geometryposted 5 years ago

    If everyone is in exactly one of the three streams, then you solve the system

    S + A + C = 270
    (2/3)S = (3/4)A
    (2/3)S = (3/5)C

    The last two equations are equivalent to (8/9)S = A and (10/9)S = C.  If you substitute those into the first equation, you get

    S + (8/9)S + (10/9)S = 270
    3S = 270
    S = 90.

    So the answer is choice c.

  6. kingkos profile image60
    kingkosposted 5 years ago


    C is the answer 100%