Question:
In a football tournament, a player has played a certain number of matches and 10 more matches are to be played. If he scores a total of one goal over the next 10 matches, his overall average will be 0.15 goals per match. On the other hand, if he scores a total of two goals over the next 10 matches, his overall average will be 0.2 goals per match. The number of matches he has played is
In a football tournament, a player has played a certain number of matches and 10 more matches are to be played. If he scores a total of one goal over the next 10 matches, his overall average will be 0.15 goals per match. On the other hand, if he scores a total of two goals over the next 10 matches, his overall average will be 0.2 goals per match. The number of matches he has played is
Updated On: Sep 17, 2024
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Correct Answer: 10
Solution and Explanation
Let's assume the number of matches played up to this point is represented by 'x.' In the next ten matches, if one additional goal is scored, the average number of goals per match becomes 0.15. Furthermore, if the player scores two goals, the average increases to 0.2.
It's evident that adding one extra goal raises the average by 0.05 (0.2 - 0.15). Consequently, we can conclude that the total number of matches played until the end is 20.
This implies: x + 10 = 20 Therefore, x = 10.
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