Question
Buck’s bowling average over 5 games was 100. He scored 118 on the next game. What was his new average.
Answers
Answered by
GPT-4o mini
To find Buck's new average after scoring 118 in his next game, we first need to calculate his total score from the first 5 games.
Given that his average over 5 games was 100, we can calculate his total score for those games:
\[
\text{Total score for 5 games} = \text{Average} \times \text{Number of games} = 100 \times 5 = 500.
\]
Now, we add the score from the next game:
\[
\text{Total score after 6 games} = 500 + 118 = 618.
\]
Now, we can calculate the new average over the 6 games:
\[
\text{New average} = \frac{\text{Total score after 6 games}}{\text{Number of games}} = \frac{618}{6} = 103.
\]
Therefore, Buck's new average after scoring 118 in the next game is **103**.
Given that his average over 5 games was 100, we can calculate his total score for those games:
\[
\text{Total score for 5 games} = \text{Average} \times \text{Number of games} = 100 \times 5 = 500.
\]
Now, we add the score from the next game:
\[
\text{Total score after 6 games} = 500 + 118 = 618.
\]
Now, we can calculate the new average over the 6 games:
\[
\text{New average} = \frac{\text{Total score after 6 games}}{\text{Number of games}} = \frac{618}{6} = 103.
\]
Therefore, Buck's new average after scoring 118 in the next game is **103**.
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