Question -
The debate team has averaged 108 points in the last 5 tournaments. If they scored 120, 98, 92, and 108 in the first 4 tournaments, how many points were scored in the fifth tournament?
Answer -
Let X be the number of points scored in the fifth tournament. According to the problem, the team averaged 108 points in the last 5 tournaments. Therefore,
(120 + 98 + 92 + 108 + X) ÷ 5 = 108
Multiplying both sides by 5, we get:
120 + 98 + 92 + 108 + X = 540
Adding all the scores in the equation except X, we get:
418 + X = 540
Subtracting 418 from both sides, we get:
X = 122
Therefore, the team scored 122 points in the fifth tournament.
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