A can give B 20 points, A can give C 32 points and B can give C 15 points. How many points make the game?
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150
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200
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100
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170
If A gives B 20 points, when A scores the game total, B scores (total - 20). This means A:B speed ratio = total:(total - 20). Similarly, A:C = total:(total - 32) and B:C = total:(total - 15). Solving these ratios: total - 20 = total - 32 + total - 15 - total, which gives total = 100.
To determine the total number of points in the game, we need to consider the points that A can give to B, the points that A can give to C, and the points that B can give to C.
Let's start by calculating the maximum number of points A can give to B. According to the information given, A can give B 20 points.
Next, let's calculate the maximum number of points A can give to C. According to the information given, A can give C 32 points.
Finally, let's calculate the maximum number of points B can give to C. According to the information given, B can give C 15 points.
To find the total number of points in the game, we need to add up these three values:
Total points = points A can give to B + points A can give to C + points B can give to C Total points = 20 + 32 + 15 Total points = 67
Therefore, the game has a total of 67 points. None of the given options match this result, so none of the options are correct.