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 and average of 25 points?

Answer 1

To find the score Carlos needs in his last game to average 25 points per game, you can set up an equation based on the average formula.

Carlos wants to average 25 points over 7 games. The formula for the average is:

$$\text{Average}=\frac{\text{Total Points}}{\text{Number of Games}}$$

In this case, Carlos will have played 7 games, and we want the average to be 25 points. Let $x$ be the score Carlos needs in the last game.

First, let's calculate the total points he has scored in the first 6 games:

• Points in first 6 games: $27+18+24+32+15+27=143$

Now, the total points scored after 7 games (including the last game, $x$) will be:

$$143+x$$

To find the average, set up the equation:

$$\frac{143+x}{7}=25$$

Now, multiply both sides by 7 to eliminate the fraction:

$$143+x=175$$

Next, solve for $x$:

$$x=175-143$$ $$x=32$$

So, Carlos needs to score 32 points in his last game to average 25 points per game for the season.