In a bowling competition, Lucas scored an average of 163 points for his first three games. If he wants to increase his average score by another 7 points,
how much must he score in his fourth game?
To determine how much Lucas must score in his fourth game to increase his average score by 7 points, we can use the formula:
Average score = (Total score) / (Number of games)
We know that Lucas scored an average of 163 points for his first three games. Therefore, his total score for those three games would be:
Total score = Average score x Number of games
Total score = 163 x 3
Total score = 489
To increase his average score by another 7 points, Lucas would need to have a new average of:
New average score = 163 + 7
New average score = 170
To achieve this new average, Lucas would need to have a total score of:
Total score = New average score x Number of games
Total score = 170 x 4
Total score = 680
Since Lucas has already scored a total of 489 points in his first three games, he would need to score:
Score in fourth game = Total required - Total already scored
Score in fourth game = 680 - 489
Score in fourth game = 191
Therefore, Lucas would need to score at least 191 points in his fourth game to increase his average by another 7 points.
Answer: Lucas must score at least 191 points in his fourth game.
To find out how much Lucas must score in his fourth game, we need to calculate his current total score for the first three games.
Average score = Total score / Number of games
Given that his average score for the first three games is 163 points, and assuming he played three games in total, we can calculate his current total score.
Total score = Average score * Number of games
= 163 * 3
= 489
To increase his average score by 7 points, we need to find the total score for all four games.
New average score = (Total score + Score in the fourth game) / Number of games
170 = (489 + Score in the fourth game) / 4
To find the score in the fourth game, we can multiply both sides of the equation by 4.
4 * 170 = 489 + Score in the fourth game
680 = 489 + Score in the fourth game
Subtracting 489 from both sides of the equation:
680 - 489 = Score in the fourth game
Score in the fourth game = 191
Therefore, Lucas needs to score 191 points in his fourth game to increase his average by 7 points.
To find out how much Lucas must score in his fourth game, we need to calculate his current total score for the first three games.
Lucas has an average score of 163 points for his first three games. Since average is calculated by dividing total score by the number of games played, we can calculate his total score by multiplying the average by the number of games.
Total score for the first three games = Average * Number of games
Total score = 163 * 3 = 489 points
Now, to find out how much Lucas must score in his fourth game to increase his average by 7 points, we'll set up an equation.
New average = (Total score + Fourth game score) / Total number of games
Since the new average is the current average plus 7, we can write the equation as:
(489 + Fourth game score) / 4 = 163 + 7
Simplifying the equation:
(489 + Fourth game score) / 4 = 170
Now we'll solve for the Fourth game score:
489 + Fourth game score = 4 * 170
489 + Fourth game score = 680
Fourth game score = 680 - 489
Fourth game score = 191
Therefore, Lucas must score 191 points in his fourth game to increase his average by 7 points.