The average points scored by vandana in four matches of badminton are 48. In the fifth match, vandana scores some points such that her average now becomes 60. In the 6th match she scores 12 points more than her fifth match and now the average of her last five matches becomes 78. How many points did she score in his first match?

Answers 1

Answer:

Vandana's score in the first match is 30

Explanation:

As per the question

The average score of first 4 matches of badminton = 48

Therefore, Total score in first 4 match = 4 × 48 = 192

Average score of first 5 matches of badminton = 60

Therefore, total score in first 5 matches = 5 × 60 = 300

Vandana score in 5th match = 300 - 192 = 108

In the 6th match, Vandana scores 12 points more than the score in the 5th match.

Vandana's score in the 6th match = 120

The average score for the last 5 matches of badminton = 78

Therefore, the total score in the last 5 matches = 78 × 5 = 390

The score of the first 6 matches of badminton = 300 + 120 = 420

Vandana score in first match = 420 - 390 = 30

Therefore, Vandana score in first match is 30

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