Civil Service Exam Reviewer · Ratio and Proportion · hard

A box has red and blue balls in the ratio 2 : 7. After 10 red balls are removed, the ratio becomes 3 : 28. How many blue balls are in the box?

  1. 16
  2. 72
  3. 56
  4. 66

Answer

C. 56

Solution

Red = 2k, blue = 7k. (2k − 10)/7k = 3/28 → k = 8. Blue = 7 × 8 = 56.

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