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%.