A rugby team scored 24, 17 and 25 points in their 7th , 8th and 9th game of the previous season. The averagenumber of points per game was higher after 9 games than after their first 6 games. Their average after 10 gameswas more than 22 points. What is the minimum number of points they have scored in their 10th game?(A) 22 (B) 23 (C) 24 (D) 25 (E) 26
Question
A rugby team scored 24, 17 and 25 points in their 7th , 8th and 9th game of the previous season. The averagenumber of points per game was higher after 9 games than after their first 6 games. Their average after 10 gameswas more than 22 points. What is the minimum number of points they have scored in their 10th game?(A) 22 (B) 23 (C) 24 (D) 25 (E) 26
Solution
To solve this problem, we need to follow these steps:
-
First, we need to calculate the total points scored in the 7th, 8th, and 9th games. This is done by adding 24, 17, and 25, which equals 66 points.
-
We know that the average number of points per game was higher after 9 games than after 6 games. This means that the total points scored in the first 6 games must be less than 66 points.
-
We also know that the average after 10 games was more than 22 points. This means that the total points scored in the first 10 games must be more than 220 points (because 22 points/game * 10 games = 220 points).
-
To find the minimum number of points they have scored in their 10th game, we subtract the total points scored in the first 9 games from 220. This is done by subtracting 66 (the total points scored in the 7th, 8th, and 9th games) from 220, which equals 154 points.
-
However, we know that the total points scored in the first 6 games must be less than 66 points. So, the minimum number of points they could have scored in the first 6 games is 65 points (one point less than 66).
-
Therefore, the minimum number of points they could have scored in their 10th game is 154 - 65 = 89 points.
So, none of the options (A, B, C, D, E) are correct. The minimum number of points they have scored in their 10th game is 89 points.
Similar Questions
indhu played ten games in the badminton tournament. Her scores in the sixth, seventh, eighth, and ninth games were 22, 16, 14, and 20 points respectively. Her points-per-game average was higher after nine games than it was after the first five games. If her average after ten games was greater than 19, what is the minimum number of points she could have scored in the tenth game?1) 312) 303) 294) 28
A player scored the following points during 8 rugby games. 10, 3, 18, 7, 12, 26, 9, 19What is the range of the player's scores?Question response areaSelect one option9111323Next
Question No 45.Sindhu played ten games in the badminton tournament. Her scores in the sixth, seventh, eighth, and ninth games were 22, 16, 14, and 20 points respectively. Her points-per-game average was higher after nine games than it was after the first five games. If her average after ten games was greater than 19, what is the minimum number of points she could have scored in the tenth game?
A total of 11 teams participated in a hockey tournament in which every team played exactly one match with every other team. In any match, a team gets four points for a win, three points for a draw and two points for a loss. The total score of no two teams was the same at the end of the tournament. If the number of points of the team with the highest total score is 35, then which of the following could be the number of points of the team with the least total score?
: The points scored by a basketball team in a series of matches are follows: 17, 7, 10, 25, 5, 10, 18, 10 and 24. Find the range
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.