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      Question

      What is the ratio of the number of boys participated

      from school A to the number of girls participated from school C? Study the following information carefully and answer the related questions. Number of students participated in dance from three different schools. Number of girls participated from school B and number of boys participated from school C are equal. Respective ratio of number of boys and girls participated from school A is 2:3 and number of girls participated from school A are 18 more than the number of girls participated from school C. Sum of number of participants from school B and C is 490 and 180 students participated from school A. 100 boys participated from school B.
      A 4:7 Correct Answer Incorrect Answer
      B 3:2 Correct Answer Incorrect Answer
      C 4:5 Correct Answer Incorrect Answer
      D 5:6 Correct Answer Incorrect Answer

      Solution

      Let the number of girls participated from school B and number of boys participated from school C = x Let number of boys and girls participated from school A be 2y and 3y respectively. According to question, => 2y + 3y = 180 => y = 36 Number of boys from school A = 2y = 72 Number of girls from school A = 3y = 108 Number of girls participated from school C = 3y – 18 = 90 Now, 100 + x + x + 90 = 490 => 2x = 300 => x = 150 Number of girls participated from school B and number of boys participated from school C = 150 Required ratio = 72 : 90 = 4:5

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