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      Question

      In a bag, the ratio of yellow and orange marbles is 4:5

      respectively, and the ratio of orange and purple marbles is 1:3 respectively. If the total number of yellow, orange, and purple marbles is 96, then how many orange marbles are there in the bag?
      A 20 Correct Answer Incorrect Answer
      B 18 Correct Answer Incorrect Answer
      C 10 Correct Answer Incorrect Answer
      D 24 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the number of yellow marbles = 4x Then, number of orange marbles = (5/4) Γ— 4x = 5x And, number of purple marbles = (3/1) Γ— 5x = 15x Now, 4x + 5x + 15x = 96 β‡’ 24x = 96 β‡’ x = 96 / 24 = 4 So, number of orange marbles = 5x = 5 Γ— 4 = 20

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