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Mary, Margaret, Ron and Nick are to share a sholarship. Ron receives 1/3 of the scholarship; Nick gets 1/4 of the scholarship; Mary receives the same as Nick, and Margaret receives $72,000. Find each person's share in the scholarship as well as the original scholarship amount.

You must use a Let statement.
State the equation for the above situation
Solve Algebraicially

  • Algebra -

    1 - 1/3 - 1/4 - 1/4 = 1/6

    so, 72000 is 1/6 of the total.
    The total is thus 432,000

    1/3 = 144,000
    1/4 = 108,000

    You can massage the answer to the required format.

  • Algebra -

    Thanks. I figuired out the working, but not sure how to use the Let statement. Would it be correct to say

    Let A = original scholarship amount
    A = 1-1/3 -1/4-1/4 x72,000
    A = 1/6 x 72 = 432,000

  • Algebra -

    Better would be

    (1 - 1/3 - 1/4 - 1/4) A = 72000
    1/6 A = 72000
    A = 6*72000


    A = 72000/(1 - 1/3 - 1/4 - 1/4)

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