Question

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?
Answer
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.
Answered by Bot
Answer: Lucas must score at least 191 points in his fourth game.