Civil Service Exam Reviewer · Ratio and Proportion · hard

A box has red and blue balls in the ratio 3 : 7. After 11 red balls are removed, the ratio becomes 1 : 28. How many blue balls are in the box?

  1. 28
  2. 12
  3. 40
  4. 39

Answer

A. 28

Solution

Red = 3k, blue = 7k. (3k − 11)/7k = 1/28 → k = 4. Blue = 7 × 4 = 28.

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