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      Question

      There are 120 balloons of three different colours in a

      box. The ratio of red balloons to yellow balloons is 2:3, and the ratio of red balloons to green balloons is 4:5. How many red balloons are there?
      A 32 Correct Answer Incorrect Answer
      B 48 Correct Answer Incorrect Answer
      C 54 Correct Answer Incorrect Answer
      D 19 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let number of red balloons be 2x Yellow balloons = 2x Γ— (3/2) = 3x Green balloons = 2x Γ— (5/4) = 2.5x ATQ: 2x + 3x + 2.5x = 120 Or, 7.5x = 120 So, x = 16 Number of red balloons = 2 Γ— 16 = 32

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