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By the end of July, a certain baseball team had played 80% o
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10 Jun 2018, 05:09
10 Jun 2018, 05:09
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Question Stats:
89% (01:08) correct
10% (01:25) wrong based on 126 sessions
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By the end of July, a certain baseball team had played 80% of the total games to be played that season and had won 50% of those games. Of the remaining games for the season, the team won 60%.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
Percent of total games won for the season |
52% |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Re: By the end of July, a certain baseball team had played 80% o
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13 Jun 2018, 22:38
13 Jun 2018, 22:38
1
sandy wrote:
By the end of July, a certain baseball team had played 80% of the total games to be played that season and had won 50% of those games. Of the remaining games for the season, the team won 60%.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
Percent of total games won for the season |
52% |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Let the team played 100 games.
Now 80% it played already i.e. 80 games and out of these it won only 50% => 40.
Now 20% remaining will be 20 and out of these only 60% won i.e only 12 games.
Total won = 52
won percentage = 52/100 = 52%.
Col B also 52%.
Both same.
C.
Re: By the end of July, a certain baseball team had played 80% o
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14 Jul 2018, 04:30
14 Jul 2018, 04:30
Expert Reply
Explanation
Choose a smart number for the total number of games; for a percent problem, 100 is a good number to pick. If the total number of games for the season is 100 and the team played 80% of them by July, then the team played (100)(0.8) = 80 games. The team won 50% of these games, or (80)(0.5) = 40 games.
Next, the team won 60% of its remaining games. As there were 100 total games and the team has played 80 of them, there are 20 games left to play. Of these, the team won 60%, or (20)(0.6) = 12 games.
Therefore, the team has won a total of 40 + 12 = 52 games out of 100, or 52% of its total games. The two quantities are equal.
Choose a smart number for the total number of games; for a percent problem, 100 is a good number to pick. If the total number of games for the season is 100 and the team played 80% of them by July, then the team played (100)(0.8) = 80 games. The team won 50% of these games, or (80)(0.5) = 40 games.
Next, the team won 60% of its remaining games. As there were 100 total games and the team has played 80 of them, there are 20 games left to play. Of these, the team won 60%, or (20)(0.6) = 12 games.
Therefore, the team has won a total of 40 + 12 = 52 games out of 100, or 52% of its total games. The two quantities are equal.
