After winning 50 percent of the first 20 games it played, Team won all of the remaining games it played. What was the total number of games that Team A won?
(1) Team A played 25 games altogether
(2) Team A won 60 percent of all the games it played
Comments (2): I have an issue with the second statement being sufficient. Team A could have won the 10 games out of 20 (50 percent) but then COULD HAVE played a total of 80 more games. If they won 50 more games out of these 80, they would have won 60% of all games they played, so I cannot understand why this scenario would not make this statement ambiguous.
Official Explanation (Quant Review 12 75): It is given that the total number of games won is (0.6)(20 + r), which can be expanded to 12 + 0.6r. Since it is also known that the number of games won is 10 + r, it follows that 12 + 0.6r = 10 + r. Solving this equation equals 5.
Okay, I get that, but if you plug in 80 it still works. Are just supposed to implicitly assume that the smallest factor is the answer? Any assistance is greatly appreciated. [spoiler][/spoiler]
(1) Team A played 25 games altogether
(2) Team A won 60 percent of all the games it played
Comments (2): I have an issue with the second statement being sufficient. Team A could have won the 10 games out of 20 (50 percent) but then COULD HAVE played a total of 80 more games. If they won 50 more games out of these 80, they would have won 60% of all games they played, so I cannot understand why this scenario would not make this statement ambiguous.
Official Explanation (Quant Review 12 75): It is given that the total number of games won is (0.6)(20 + r), which can be expanded to 12 + 0.6r. Since it is also known that the number of games won is 10 + r, it follows that 12 + 0.6r = 10 + r. Solving this equation equals 5.
Okay, I get that, but if you plug in 80 it still works. Are just supposed to implicitly assume that the smallest factor is the answer? Any assistance is greatly appreciated. [spoiler][/spoiler]
