Civil Service Exam Reviewer · Ratio and Proportion · hard

A box has red and blue balls in the ratio 7 : 3. After 2 red balls are removed, the ratio becomes 47 : 21. How many blue balls are in the box?

  1. 49
  2. 21
  3. 70
  4. 23

Answer

B. 21

Solution

Red = 7k, blue = 3k. (7k − 2)/3k = 47/21 → k = 7. Blue = 3 × 7 = 21.

More Ratio and Proportion questions

  1. Alloy X contains gold and copper in the ratio 3 : 2; alloy Y contains them in the ratio 3 : 4. If equal weights of X and Y are melted…
  2. The ratio of the number of pupils to teachers in a school is 30 : 1. If there are 35 teachers, how many pupils must be added so that the…
  3. 8 workers can complete a job in 27 days. After working for 22 days, 6 workers leave. How many more days will the remaining workers need to…
  4. ₱51,660 is shared among A, B and C such that A : B = 1 : 6 and B : C = 5 : 1. How much does C receive?
  5. Two similar rectangles have corresponding sides in the ratio 3 : 5. What is the ratio of their areas?
  6. Ella and Mila share some money in the ratio 9 : 4. Ella receives ₱21,200 more than Mila. How much money was shared?
  7. The present ages of a father and his son are in the ratio 7 : 4. 9 years ago, the ratio was 40 : 19. What is the son's present age?
  8. Two numbers are in the ratio 1 : 2. If 14 is added to each, the ratio becomes 23 : 32. What is the larger of the original numbers?
  9. The ratio of the number of pupils to teachers in a school is 70 : 1. If there are 24 teachers, how many pupils must be added so that the…
  10. ₱20,000 is shared among A, B and C such that A : B = 1 : 6 and B : C = 1 : 3. How much does C receive?

All Ratio and Proportion questions