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Algebra word problem

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There are 50 questions to answer in a triva contest. Each player starts with 100 points. He or she earns ten points for each correct answer but will lose four points for each incorrect answer. Each player must answer all 50 questions. What is the fewest number of questions a contestant must answer correctly to have a score over 350?
Is the answer 22????

  • Algebra word problem - ,

    score = 10*right - 4*wrong
    s = 100 + 10r - 4w
    r+w = 50

    so, to get at least 350,

    100 + 10r - 4(50-r) > 350
    100 + 10r - 200 + 4r > 350
    14r > 450
    r > 32.14

    so, at least 33 correct answers

    100 + 32*10 - 18*4 = 348
    100 + 33*10 - 17*4 = 362

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