algebra

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On a trivia game show, a contestent will answer 21 questions. A maximum of 200 points cana be earned. Some questions are worth 10 points and some are worth 8 points. Howmany of each point-value question must the contestent answer to earn the manimum number of points?

  • algebra -

    X 10-point questions.
    Y 5-point questions.
    Eq1: X + Y = 21 Questions

    Eq2: 10x + 5y = 200 Points.

    Multiply Eq1 by -5 and add Eq1 and Eq2:
    -5x - 5y = -105
    10x + 5y = 200

    Solution set: (X,Y) = (19,2).


    5x = 95
    X = 19

    In Eq1, replace x with 19:
    19 + y = 21
    Y = 2.

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