To find the score for the last game that will help Carlos average 25 points per game over 7 games, we can use the following equation.
First, we calculate the total points Carlos needs to average 25 points over 7 games:
\[ 25 \times 7 = 175 \]
Next, we need to sum the points he has scored in the previous 6 games:
\[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \]
Let \( s \) represent the score in the last game. We then set up the equation:
\[ 143 + s = 175 \]
Now to solve for \( s \):
\[ s = 175 - 143 = 32 \]
Thus, the equation that allows you to find the score Carlos needs in his last game is:
\[ \frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25 \]
This corresponds to the response:
27 + 18 + 24 + 32 + 15 + 27 + s over 7 equals 25.
So the equation that helps you find the score for the last game is:
\[ \frac{143 + s}{7} = 25 \]