To find out the score Carlos needs in his last game to achieve an average of 25 points per game over the seven games, you can use the following equation:
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First, determine the total points needed to achieve the desired average: \[ \text{Total points needed} = \text{Average} \times \text{Number of games} \] In this case: \[ \text{Total points needed} = 25 \times 7 = 175 \]
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Next, sum up the points Carlos has scored in the first six games: \[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \]
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Let \( x \) be the score Carlos needs in the last game. Then, you can set up the equation: \[ 143 + x = 175 \]
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Solve for \( x \): \[ x = 175 - 143 \] \[ x = 32 \]
Therefore, Carlos needs to score 32 points in his last game to achieve an average of 25 points per game over the seven games.