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In a game A can give B 25 points in 75 and C 18 points in 90. How many points can C give B in a game of 120? radio_button_unchecked 20 radio_button_unchecked 30 radio_button_unchecked 40 radio_button_unchecked 50

Question

In a game A can give B 25 points in 75 and C 18 points in 90. How many points can C give B in a game of 120?

radio_button_unchecked 20

radio_button_unchecked 30

radio_button_unchecked 40

radio_button_unchecked 50

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Solution

To solve this problem, we need to find the relative strengths of A, B, and C in the game.

  1. In the first game, A can give B 25 points in 75. This means that when A scores 75 points, B scores 50 points (75 - 25). So, the ratio of A's strength to B's strength is 75:50, which simplifies to 3:2.

  2. In the second game, A can give C 18 points in 90. This means that when A scores 90 points, C scores 72 points (90 - 18). So, the ratio of A's strength to C's strength is 90:72, which simplifies to 5:4.

  3. Now, we can compare B and C directly. If we set A's strength as a common value, say 60 (since it's a multiple of both 3 and 5), then B's strength is 40 (2/3 of 60) and C's strength is 48 (4/5 of 60).

  4. So, in a game of 120 points (which is 3 times B's strength), C would score 144 points (3 times C's strength). This means that C can give B 24 points in a game of 120.

So, none of the provided options are correct. The correct answer should be 24 points.

This problem has been solved

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