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Halfway through the season, Antonio’s scoring average
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28 Dec 2016, 15:13
28 Dec 2016, 15:13
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Question Stats:
35% (01:33) correct
64% (01:32) wrong based on 67 sessions
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Halfway through the season, Antonio’s scoring average per game was 20% higher than David’s. The two scored the same number of points in the second half of the season.
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 |
90% of Antonio’s scoring average for the whole season |
David’s scoring average for the whole season |
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.
Drill 2
Question: 11
Page: 316-317
Question: 11
Page: 316-317
Re: Halfway through the season, Antonio’s scoring average
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28 Dec 2016, 15:34
28 Dec 2016, 15:34
1
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Explanation
Plug in some real numbers to compare quantities. For example, plug in 10 for the number of games in the season. For the first 5 games of the season, try an average of 10 points for David (for a total of 50 points), which makes an average of 12 points for Antonio (for a total of 60 points).
Next, try a total of 0 points for each player for the second half of the season; now Antonio’s average for the season is 6 points, and David’s is 5. Because 90% of 6 is 5.4, Quantity A is greater, so eliminate choices (B) and (C).
Finally, try a total of 100 points for each player for the second half of the season; now Antonio has scored a total of 160 points in 10 games, for an
average of 16 points, and David has scored a total of 150 points in 10 games, for an average of 15 points. Because 90% of 16 is 14.4, Quantity B is now greater, so eliminate choice (A), and you’re left with choice (D).
Hence option D is correct.
Plug in some real numbers to compare quantities. For example, plug in 10 for the number of games in the season. For the first 5 games of the season, try an average of 10 points for David (for a total of 50 points), which makes an average of 12 points for Antonio (for a total of 60 points).
Next, try a total of 0 points for each player for the second half of the season; now Antonio’s average for the season is 6 points, and David’s is 5. Because 90% of 6 is 5.4, Quantity A is greater, so eliminate choices (B) and (C).
Finally, try a total of 100 points for each player for the second half of the season; now Antonio has scored a total of 160 points in 10 games, for an
average of 16 points, and David has scored a total of 150 points in 10 games, for an average of 15 points. Because 90% of 16 is 14.4, Quantity B is now greater, so eliminate choice (A), and you’re left with choice (D).
Hence option D is correct.
Re: Halfway through the season, Antonios scoring average
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25 Oct 2022, 12:57
25 Oct 2022, 12:57
Wow. Smart to consider 0 points scored for the entire second half of the season! I missed that option and got B. Darn!
