Our badminton team has finished $75\%$ of its season. So far, we have won $30\%$ 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 .75 G be the number of games you have played
Let . 30 (.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 - .30 (.75)G ] / .25G =
(.275 G ) / ( .25G) = 1.1
You need to win 110% of the games you have left which is impossible !!!