In an interbarangay basketball league the team from barangay Culiat has won 12 out of 25 games a winning percentage of 48% .We have seen that they need to win 8 games consecutively to raise their percentage to at least 60%. What will be their winning percentage if they win 10 games in a row?? Please show the solution
look at the total wins and total games
(12+10)/(25+10)
62.857
To find out the winning percentage if the team from barangay Culiat wins 10 games in a row, we need to calculate the total number of games they will have played and the total number of games they will have won.
Given:
Total number of games played = 25
Total number of games won = 12
Target winning percentage = 60%
To achieve a winning percentage of 60%, they need to win a total number of games such that their wins become 60% of the total number of games played.
Let's assume the total number of games they will have to play to reach a winning percentage of 60% is "x". The wins in these games will be 60% of "x".
Now, the number of wins they need to achieve a winning percentage of 60% is:
(60/100) * x = (3/5) * x
Since they already won 12 games out of 25, the number of additional wins they need is:
Additional wins = (3/5) * x - 12
Given that they need to win 8 games consecutively to raise their percentage to at least 60%, we can write:
Additional wins = 8
Therefore,
(3/5) * x - 12 = 8
Adding 12 to both sides of the equation:
(3/5) * x = 20
Multiplying both sides by (5/3):
x = 20 * (5/3)
x = 100/3
So, the total number of games they will have to play to achieve a winning percentage of 60% is approximately 33.33 games.
Now, let's calculate their winning percentage if they win 10 more games consecutively:
Total number of games played = 25 (initial) + 10 (additional wins) = 35 games
Total number of games won = 12 (initial) + 10 (additional wins) = 22 games
Winning percentage = (Total number of games won / Total number of games played) * 100
Winning percentage = (22 / 35) * 100
Winning percentage = 62.86%
Therefore, if the team from barangay Culiat wins 10 games in a row, their winning percentage will be approximately 62.86%.