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      Question

      In a Polly bag, the distribution of red, white, and

      yellow rubber bands is in the ratio 7:3:8. Suppose the yellow rubber bands were reduced by 35 and the red rubber bands increased by 40. Under this scenario, the red rubber bands would then be 44% more numerous than the yellow rubber bands. Determine the original count of each type of rubber band in the bag.
      A 250 Correct Answer Incorrect Answer
      B 360 Correct Answer Incorrect Answer
      C 250 Correct Answer Incorrect Answer
      D 125 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the number of red rubber bands, white rubber bands and yellow rubber bands in the Polly bag, originally be 7p, 3p and 8p, respectively So, 1.44(8p – 35) = 7p + 40 Or, 11.52p – 7p = 40 + 50.4 Or, p = 90.4/4.52 = 20 Required number of balls = (7p + 3p + 8p) = 18p = 360

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