To find the score for the last game that will help Carlos achieve an average of 25 points per game, we can set up an equation based on the following information:
- Carlos has played 6 games so far and will play one more (making a total of 7 games).
- He wants an average of 25 points per game after playing all 7 games.
First, let's calculate the total points Carlos needs to have after 7 games to average 25 points per game:
Total points needed = Average points per game × Number of games Total points needed = 25 × 7 = 175 points
Next, we need to find the total points he has scored in the first 6 games. The scores from the previous games are as follows:
- Game 1: 27 points
- Game 2: 18 points
- Game 3: 24 points
- Game 4: 32 points
- Game 5: 15 points
- Game 6: 27 points
Now, let's calculate the total points scored in the first 6 games:
Total points scored = 27 + 18 + 24 + 32 + 15 + 27 Total points scored = 143 points
Let \( s \) be the score Carlos needs in the last game. To find \( s \), we set up the equation based on the total points needed:
Total points scored + Score in last game = Total points needed 143 + s = 175
Now, we can solve for \( s \):
s = 175 - 143 s = 32
Thus, Carlos needs to score 32 points in the last game to achieve an average of 25 points per game.
To answer your original question, the correct equation would be:
143 + s = 175
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