To find the score that Carlos needs in his last game to achieve an average of 25 points per game over 7 games, we can use the following approach:
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First, calculate the sum of points he has already scored in the 6 games: \[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \]
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Let \( s \) be the score he needs in the last game. The total number of games will be 7, so we want the average to equal 25: \[ \frac{143 + s}{7} = 25 \]
This equation allows us to solve for \( s \). Therefore, the correct response from the options you provided is:
\[ \frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25 \]
This corresponds to the option with the correct average calculation: \[ \frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25 \]