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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 72 red pencils in the bag, what was the total number of pencils in the bag?
    A 125 Correct Answer Incorrect Answer
    B 160 Correct Answer Incorrect Answer
    C 180 Correct Answer Incorrect Answer
    D 100 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 = 72 x = 3 x = 3 Now, the total number of pencils = 60x =60 x3 =180   The total number of pencils in the bag was 180.

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