Since 65% is equivalent to 13/20 , it follows that, of the
choices given, the total number of games the team played last season can only be
A) 22
B) 20
C) 18
D) 14
choices given, the total number of games the team played last season can only be
A) 22 x 0.65 = 14.3 games; not an even number.
B) 20 x 0.65 = 13.0 games; an even number.
C) 18 x 0.65 = 11.7 games; not an even number.
D) 14 x 0.65 = 9.1 games; not an even number.
The team played only whole games not parts of a game. B is the only total number of games that gives an even number with winning exactly 65%.
Let's analyze each option:
A) 22 games: 65% of 22 is 14.3, which is not a whole number. Therefore, 22 cannot be the total number of games.
B) 20 games: 65% of 20 is 13, which is a whole number. Therefore, 20 could be the total number of games.
C) 18 games: 65% of 18 is 11.7, which is not a whole number. Therefore, 18 cannot be the total number of games.
D) 14 games: 65% of 14 is 9.1, which is not a whole number. Therefore, 14 cannot be the total number of games.
Based on the calculations, the only option that could be the total number of games the team played last season is B) 20.