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Math Help - your so "mean"

  1. #1
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    your so "mean"

    In a certain game, each of the 5 players received a score between 0 and 100 inclusive. If their average(arithmetic mean) score was 80, what is the greatest possible number of the 5 players who dould have received a score of 50?

    • None
    • One
    • Two
    • Three
    • Four

    i know c but how?

    whats the most efficient method to solve this type of the so called , your so "mean" killer question
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  2. #2
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    5*80 = 400 points to go around among the 4 students.

    3 students received 100.

    2 students stunk up the place and scored 50.

    3(100) + 2(50) = 400 = mean*#ofStudents
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  3. #3
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    5 pax with average score of 80. 5 x 80 = 400 marks in total.

    How many could get 50?

    5 could not as this would give only 250 marks

    4 could not as 4 x 50 = 200 and last mark max could be 100 which leaves up 100 short

    3 could not as 3 x 50 = 150 and even if both got 100, leaves us 50 marks short

    2 works as 2 x 50 = 100 and 3 x 100 = 300 which gives us the correct marks.

    therefore the max possible would be 2 pax
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