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      Question

      There are 80 students in a school team, where the number of

      girls is 16 more than the number of boys. If 50 more students join the team, out of which 60% are girls, then what will be the new ratio of girls to boys in the team?
      A 50:29 Correct Answer Incorrect Answer
      B 39:26 Correct Answer Incorrect Answer
      C 80:69 Correct Answer Incorrect Answer
      D 65:61 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the number of boys in the team be x

      So, number of girls in the team = x + 16

      So, x + x + 16 = 80

      Or, 2x = 64

      So, x = 32

      So, number of boys in the team = 32

      And number of girls in the team = 32 + 16 = 48

      And number of girls added to the team = 50 × 60% = 30

      And number of boys added to the team = 50 - 30 = 20

      So, required ratio = (48 + 30) : (32 + 20) = 78 : 52 = 39 : 26

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