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      Question

      In a bag full of pencils, 3/4 of the pencils were colored pencils, and 8/15 of the colored pencils were red. If there were 40 red pencils in the bag, what was the total number of pencils in the bag?

      A 100 Correct Answer Incorrect Answer
      B 120 Correct Answer Incorrect Answer
      C 150 Correct Answer Incorrect Answer
      D 180 Correct Answer Incorrect Answer

      Solution

      LCM (4, 15) = 60 Let the total number of pencils be 60x. Number of colored pencils = 60x x 3/4 =45x Number of red-colored pencils = 45x x 8/15 =24x According to the question, 24x = 40 3x = 5 x = 5/3 Now, total number of pencils = 60x =60 x 5/3 =100   The total number of pencils in the bag was 100.

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