boomtangboy
Before play-offs, a certain team had won 80 percent of its games. After play-offs, what percent of all its games had the team won?
(1) The team competed in 4 play-off games.
(2) The team won all of its play-off games.
Given: Before play-offs, a certain team had won 80 percent of its games Target question: After play-offs, what percent of all its games had the team won?Strategy: It's sometimes useful to ask ourselves why the target question is impossible to answer without any additional information.In this case, we can't answer the target question because we don't know the total number of games played
before the playoffs, and we don't know the total number of games played
during the playoffs.
When I scan the two statements, I see that neither of them provide information about the total number of games played
before the playoffs.
This leads me to believe that the statements combined are still not sufficient.
So, I’m going to head straight to……
Statements 1 and 2 combined There are several scenarios that satisfy BOTH statements. Here are two:
Case a: The team played 5 games before the playoffs, which means they won 4 of those 5 games (i.e., 80%). Then the team won all 4 of its playoff games. In total, the team played 9 games and won 8 of them. So, the answer to the target question is
the team won about 89% of its gamesCase b: The team played 20 games before the playoffs, which means they won 16 of those 20 games (i.e., 80%). Then the team won all 4 of its playoff games. In total, the team played 24 games and won 20 of them. So, the answer to the target question is
the team won about 83% of its gamesSince we can’t answer the
target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E