Our badminton team has finished $60\%$ of its season. So far, we have won $40\%$ 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?
Let G be the total number of games you play
Let .60 G be the number of games you have played
Let . 40 (.60)G be the number of games you have won = .24G
Let .40G 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 - .24G ] / .40G =
(.26 G ) / ( .40G) = .65 (you need to win 65% of your remaining games )