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      Question

      In a class of 720 students, the ratio of boys to girls is

      3:2. Additionally, among the boys, the ratio of those who participated in dancing to those who participated in singing is 5:4. If every boy took part in either dancing or singing, determine the number of boys who participated in dancing.
      A 300 Correct Answer Incorrect Answer
      B 240 Correct Answer Incorrect Answer
      C 270 Correct Answer Incorrect Answer
      D 280 Correct Answer Incorrect Answer
      E 330 Correct Answer Incorrect Answer

      Solution

      Number of boys in the class = 720 Γ— 3/5 = 432
      Number of boys who participated in dancing = 432 Γ— 5/9 = 240

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