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My street hockey team plays three games each week. My team lost all 12 games in the first four weeks. Then, my team won two games and lost one game in the fifth week, bringing our record to 2 wins and 13 losses. Each week after that, my team won two games and lost one game. My team first wins at least 50% of all its games by the end of the first n weeks. What is n?

 

ANY HELP IS APPRECIATED!smiley

 Sep 25, 2022
 #1
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n=16

 

Week Wins Losses   

1                   3 

2                   6               

3                   9

4                   12

5            2      13

6            4       14

7            6        15

8            8         16

9            10        17

10           12       18

11          14         19

12          16         20

13           18        21

14           20       22

15           22       23

16           24       24

 

after 16 weeks, the team was exactly won 24/48 (50%) of the total games, so n=16.

 Sep 26, 2022
edited by TheViridianGem  Sep 26, 2022
 #2
avatar+4 
+1

Week | Wins | Losses   

1                   3 

2                   6               

3                   9

4                   12

5            2      13

6            4       14

7            6        15

8            8         16

9            10        17

10           12       18

11          14         19

12          16         20

13           18        21

14           20       22

15           22       23

16           24       24

 

after 16 weeks, the team exactly won 24/48 (50%) of the total games, so n=16.

 Sep 27, 2022

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