At a game of billiards A can give B 15 points in 60 and A can give C 20 in 60.…
2024
At a game of billiards A can give B 15 points in 60 and A can give C 20 in 60. How many can B give C in a game of 90?
- A.
30 points
- B.
20 points
- C.
10 points
- D.
12 points
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Correct answer: C
Solution:
From A giving B 15 points in 60: when A scores 60, B scores 60 − 15 = 45. So A:B = 60:45.
From A giving C 20 points in 60: when A scores 60, C scores 60 − 20 = 40. So A:C = 60:40.
Combine to get B:C. Using A as common reference, B:C = 45:40, which simplifies to 9:8.
Scale the 9:8 ratio to a 90-point game: multiply both parts by 10 to get 90:80. Thus when B scores 90, C scores 80.
Answer: B can give C 90 − 80 = 10 points in a game of 90.