Civil Service Exam Reviewer · Ratio and Proportion · hard

A box has red and blue balls in the ratio 3 : 7. After 5 red balls are removed, the ratio becomes 19 : 56. How many blue balls are in the box?

  1. 24
  2. 80
  3. 61
  4. 56

Answer

D. 56

Solution

Red = 3k, blue = 7k. (3k − 5)/7k = 19/56 → k = 8. Blue = 7 × 8 = 56.

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