Our badminton team has finished 75% of its season. So far, we have won 45% of the games we played. What percent of the remainder of our games must we win in order to finish the season with the same number of wins as losses?
If the season consists of 100 games, we have played 75 games and have 25 games left to play. We have won 45 games, so we have lost 55 games. To finish the season with the same number of wins as losses, we must win 55 games. Thus, we must win 55/25 = 22% of the remaining games.
Therefore, the answer is 22.
+1277
Our badminton team has finished 75% of its season. So far, we have won 45% of the games we played. What percent of the remainder of our games must we win in order to finish the season with the same number of wins as losses?
You've played 75% of the season. So, you've played
75% of the total number of games in the whole season.
You have won 45% of 75% of the total number of games
in the season. That means you've won 33.75% of the total
number of games in the season.
To achieve that 50% winning season, you will need to win
another 16.25% of the total number of games in the season.
There is 25% of the season left, meaning there are 25%
of the total number of games in the season left to play.
You will have to win 16.25% of the total number of games
in the season, but there's only a fourth of a season left to
do it in, so you must win 4 times 16.25% = 65% to achieve
that 50% winning season.
You must win 65% of the remaining games in the season.
45% of 75% of the games already played = 33.75% of all the games
65% of 25% of the games remaining to play = 16.25% of all the games
––––––
total 50.00% of all the games
.
