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The four members of a team are comparing scores on the Individual

Test. Amy scored 3 points less and Brad scored 6 points less than the average of the team members, while Cara scored 5 points more than the average. Don scored 28 points. What was the score of the highest-scoring member of this team?

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2 answers
  1. nine total points below average , so nine total above

    Don scored four points above average
    ... Cara outscored him by one point ... 29

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  2. x = average

    A = Amy's points = x - 3

    B = Brad's points = x - 6

    C = Cara's points = x + 5

    D = Don 's points = 28

    Average:

    x = ( A + B + C + D ) / 4

    Put members of a team points in this equation.

    x = ( x - 3 + x - 6 + x + 5 + 28 ) / 4

    x = ( 3 x + 24 ) / 4

    Multiply both sides by 4

    4 x = 3 x + 24

    Subtract 3 x to both sides

    4 x - 3 x = 3 x + 24 - 3 x

    x = 24

    A = Amy's points = x - 3 = 24 - 3 = 21

    B = Brad's points = x - 6 = 24 - 6 = 18

    C = Cara's points = x + 5 = 24 + 5 = 29

    D = Don 's points = 28

    Cara scored most points, 29.

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