Question

Marlon is bowling in a tournament and has the highest average after 5 games, with scores of 210. 225, 254. 231, and 280. In order to maintain this exact average.
what must be Marlon's score for his 6th game?
F. 200
G. 210
H. 231
工
240
K. 245

Answer 1

To find the score Marlon needs in his 6th game to maintain his average of 225, we can start by calculating the total score he needs after 6 games and then find out what his score in the 6th game needs to be.

1. **Calculate the total score required for 6 games to maintain an average of 225:**

\[
\text{Total score} = \text{Average} \times \text{Number of games} = 225 \times 6 = 1350
\]

2. **Sum the scores of the first 5 games:**

Scores: 210, 225, 254, 231, 280

\[
\text{Total of 5 games} = 210 + 225 + 254 + 231 + 280 = 1190
\]

3. **Calculate the score needed in the 6th game:**

\[
\text{Score needed in 6th game} = \text{Total required score} - \text{Total of 5 games} = 1350 - 1190 = 160
\]

4. **Check the options:**

The choices provided are:
- F. 200
- G. 210
- H. 231
- I. 240
- K. 245

Since 160 is not among the answer choices, this indicates that Marlon cannot achieve the desired average of 225 with the existing scores unless he scores at least 160 in the 6th game; in which case, none of the options provided would help achieve that average.

Thus, Marlon cannot maintain an average of 225 after 6 games based on the scores provided.