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Difficulty:
15%
(low)
Question Stats:
77% (01:07) correct
23%
(01:19)
wrong
based on 48
sessions
History
Date
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Not Attempted Yet
Brady, Charlie, and Daryl play on the same baseball team. The number of home runs hit by Brady in a particular season is what fraction of the total home runs hit by the three players in that season?
(1) Brady hit 12 home runs in that season.
(2) In that season, the number of home runs hit by Brady was twice the number hit by Charlie and Daryl combined.
(1) Brady hit 12 home runs in that season.
(2) In that season, the number of home runs hit by Brady was twice the number hit by Charlie and Daryl combined.
20 Nov 2022, 17:58
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Question Stem Analysis:
Let b, c, and d denote the number of home runs hit by Brady, Charlie, and Daryl, respectively. We need to determine b/(b + c + d).
Statement One Alone:
\(\Rightarrow\) Brady hit 12 home runs in that season.
Thus, b = 12. However, without any information about c and d, we cannot determine the value of b/(b + c + d). Statement one alone is not sufficient.
Eliminate answer choices A and D.
Statement Two Alone:
\(\Rightarrow\) In that season, the number of home runs hit by Brady was twice the number hit by Charlie and Daryl combined.
Thus, b = 2(c + d). If we substitute b = 2(c + d) in b/(b + c + d), we obtain:
b/(b + c + d)
2(c + d)/(2(c + d) + (c + d))
2(c + d)/(3(c + d))
2/3
Statement two alone is sufficient.
Answer: B
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