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?

Newuserdummy Aug 22, 2023

#1**0 **

Since 75% of the season has been completed, 25% of the season remains. Thus, we have 25 games left to play.

We must win 55% of the remaining games in order to have a 50-50 win-loss record. To find this, we convert the percentage to a decimal and divide by 4: 55%=55/100=11/20. So, we must win 44% of the remainder of our games in order to finish with a 50-50 win-loss record.

Guest Aug 22, 2023

#2**+1 **

Let G be the total number of games you play

Let .75 G be the number of games you have played

Let . 45 (.75)G be the number of games you have won

Let .25G be the games left

Let .50G = the number of wins you must have

And number of wins you need - Number of wins you have = No. of wins you need in your remaining schedule

So

[ No. of wins you need - No, of wins you have ] / [ No. of Games Left ]

[ .50G - .45 (.75)G ] / .25G =

(.1625 G ) / ( .25G) = .65 (you need to win 65% of your remaining games )

CPhill Aug 22, 2023