A certain basketball team that has played 2/3 of its games has a 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?
answer should be (D) 4
17 W + 3 L = 20 games
2/3 of 20 games = 30 games total
in order for the team to win at least 3/4 of the games:
3/4 * 30 = 22.5 cant have half a game so 23 to have at least 3/4
currently they have won 17 so they need 6 more wins to have 23 wins
since they have 10 games remaining, the team can only lose 4 more games.