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