Carlos is playing basketball this season. He is trying to average 25 points per game. He has scored 27, 18, 24, 32, 15, and 27 points in the previous 6 games. What equation can help you find the score for the last game that will give Carlos an average of 25 points

1 answer

To find the score Carlos needs in his last game to achieve an average of 25 points per game, we can set up an equation based on the total points scored.

  1. Calculate the total points needed for 7 games: Since he wants to average 25 points per game over 7 games, the total points needed is: \[ \text{Total points needed} = 25 \text{ points/game} \times 7 \text{ games} = 175 \text{ points} \]

  2. Sum the points scored in the first 6 games: Carlos has scored 27, 18, 24, 32, 15, and 27 points in the first 6 games. Let's sum these points: \[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \text{ points} \]

  3. Let \( x \) be the score in the last game: To find \( x \), the score needed in the last game, we can set up the equation: \[ \text{Total points scored} = \text{Points from first 6 games} + x \] Therefore, the equation becomes: \[ 143 + x = 175 \]

  4. Solve for \( x \): \[ x = 175 - 143 \] \[ x = 32 \]

Carlos needs to score 32 points in his last game to achieve an average of 25 points per game.