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      Question

      There are balls of three colours: blue, green, and

      white. The number of green balls is 8 more than the average number of balls of each colour. The number of blue balls is 25% less than the number of green balls, and 10 more than the number of white balls. Find the number of white balls.
      A 29 Correct Answer Incorrect Answer
      B 20 Correct Answer Incorrect Answer
      C 17 Correct Answer Incorrect Answer
      D 19 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the average number of balls of each colour be ‘x’. Therefore, number of green coloured balls = (x + 8) Number of blue coloured balls = 0.75(x + 8) Number of white coloured balls = 0.75(x + 8) – 10 Therefore, (x + 8) + 0.75(x + 8) + 0.75(x + 8) – 10 = 3x Or, 0.5x = 14 Or, x = 14 / 0.5 = 28 Therefore, number of white coloured balls = 0.75(x + 8) – 10 = 0.75(36) – 10 = 27 – 10 = 17

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