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?
Let the score of the last game be represented by 'x'. To find the equation, we need to determine the average of all the scores, including the last game.
The sum of all the scores can be calculated by summing up the scores of the previous 6 games and adding the score of the last game:
27 + 18 + 24 + 32 + 15 + 27 + x
To find the average, we divide the sum by the total number of games, which is 7 (6 previous games + 1 last game):
(27 + 18 + 24 + 32 + 15 + 27 + x) / 7
To meet the condition that the average should be 25, we set up the equation:
(27 + 18 + 24 + 32 + 15 + 27 + x) / 7 = 25
Simplifying the equation, we have:
(143 + x) / 7 = 25
To find the score of the last game (x), we solve for x by multiplying both sides of the equation by 7 and then subtracting 143 from both sides:
143 + x = 25 * 7
143 + x = 175
x = 175 - 143
x = 32
Therefore, Carlos needs to score 32 points in the last game to have an average of 25 points.
To find the equation that can help us determine the score for the last game to give Carlos an average of 25 points, we can use the following steps:
Step 1: Add up the scores of the previous 6 games:
27 + 18 + 24 + 32 + 15 + 27 = 143
Step 2: In order for Carlos to average 25 points, we need to find the total sum of his scores in 7 games, which will be 7 multiplied by 25:
7 * 25 = 175
Step 3: Deduct the sum of the previous 6 games from the desired total:
175 - 143 = 32
Therefore, the equation that can help us find the score for the last game is:
Score of the last game = 32 points.
To find the equation that can help us determine the score for Carlos's last game, we need to consider the total number of points he wants to average over a certain number of games.
Let's calculate the total score Carlos already has for the previous 6 games:
27 + 18 + 24 + 32 + 15 + 27 = 143
To find the desired equation, we can use the formula for the average score:
Average Score = Total Score / Number of Games
In this case, Carlos wants to average 25 points per game, so we have:
25 = 143 + x / 7
Here, "x" represents the score Carlos would need in his last game to achieve an average of 25 points over 7 games.
To solve for "x", we can rearrange the equation:
25 * 7 = 143 + x
175 = 143 + x
Finally, we can solve for "x" by subtracting 143 from both sides of the equation:
x = 175 - 143
x = 32
Therefore, Carlos would need to score 32 points in his last game to achieve an average of 25 points per game over the 7-game season.