请教一道数学题,麻烦牛牛帮忙解答一下

a certain basketball team that has played 2/3 of its games has record of 17 wins and 3 losses.what is the greatest number of the remaining games that the team can lose and still win at least 3/4 of all of its games?

so 2/3T=17+3 T=30 total of 30 games in all.

so we need the overall winnings to be 3/4 so 3/4X * 30 = 45/2 = 23 wins

The team already won 17 games so 23-17 = 6 need 6 more wins and total

remaining games left is 30 - 20 = 10

10-6 = 4 ... The max games that the team can lose from now on is 4 games. 

4+3 = 7  23/30>75% or 3/4