Sure! Let's break it down step-by-step:
1. Total Scheduled Matches:
The team is scheduled to play a total of 28 matches.
2. Matches Already Played:
The team has already played 15 matches.
3. Wins in Initial Matches:
The team wins 60% of the first 15 matches. To find out the actual number of matches won:
[tex]\[
\text{Matches won initially} = 0.60 \times 15 = 9
\][/tex]
Therefore, the team won 9 matches out of the first 15.
4. Total Wins Needed:
The team aims to win 75% of its overall matches. To find out how many matches that is:
[tex]\[
\text{Total wins needed} = 0.75 \times 28 = 21
\][/tex]
Therefore, to achieve a 75% win rate, the team needs to win 21 matches in total.
5. Remaining Wins Needed:
So far, the team has won 9 matches. To find out how many more matches they need to win:
[tex]\[
\text{Remaining wins needed} = 21 - 9 = 12
\][/tex]
The team needs to win 12 more matches to achieve their target.
6. Remaining Matches to be Played:
The team has already played 15 matches out of 28, so the remaining matches are:
[tex]\[
\text{Remaining matches} = 28 - 15 = 13
\][/tex]
Therefore, they have 13 more matches to play.
7. Additional Wins Required:
As calculated previously, the team needs to win 12 more matches. If they have 13 more matches to play, they need to win most of their remaining matches. To find the exact number of additional matches they must win:
[tex]\[
\text{Additional matches to win} = 12
\][/tex]
So, the team needs to win 12 out of the remaining 13 matches to finish the season winning 75% of its scheduled matches.
