a volleyball team scored 17 points in its first game than in its third game . in the second game, the team scored 23 points. The total numbers of points scored was less than 60. What is the greatest number of points the team could have scored in its first game
If I am reading your question correctly... you forgot the "MORE THAN" in the third game.
So you have games ____ , ____ , _____ and three
the second game the team scored 23 points... _____, __23__, ___
The first game was 17 more than the third game (so the third game is x)
x+17 + 23 + x < 60
..... you should end up with x <10 so that means that in the first game they scored x + 17, and x must be less than 10. So the greatest number of points in game one would occur when x is the closest whole number to 10 (so when it is 9)
x + 17
9 + 17
= 26
So the most points that could have been scored in game 1 is 26 :)
To find the greatest number of points the team could have scored in its first game, we need to determine the maximum value within the constraints given.
Let's consider the scenarios:
1. If the team scored the minimum number of points (0) in the first game, then the third game would have scored 17 points more than that, which is 17. The second game scored 23 points. So, the total points scored would be 0 + 23 + 17 = 40.
2. If the team scored 1 point in the first game, then the third game would have scored 17 points more than that, which is 18. The second game scored 23 points. So, the total points scored would be 1 + 23 + 18 = 42.
We can continue this pattern and calculate the total points scored for different values in the first game:
First Game Third Game (17 points more) Second Game Total Points
0 17 23 40
1 18 23 42
2 19 23 44
3 20 23 46
......................
14 31 23 68
As you can see, the total points scored in the first game increases until a certain point (14), after which it exceeds the constraint of being less than 60.
Therefore, the greatest number of points the team could have scored in its first game is 14.