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At a certain baseball game, each of the spectators is either a Bullfrog fan or a Chipmunk fan...

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At a certain baseball game, each of the spectators is either a Bullfrog fan or a Chipmunk fan...

by AAPL » Wed Feb 26, 2020 4:29 pm

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At a certain baseball game, each of the spectators is either a Bullfrog fan or a Chipmunk fan, and no one is both. What is the ratio of Bullfrog fans to Chipmunk fans among spectators at the baseball game?

1) The number of Chipmunk fans among the spectators is 20% greater than the number of Bullfrog fans.
2) The total number of spectators at the baseball game is 4,400.

OA A
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Source: — Data Sufficiency |
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Re: At a certain baseball game, each of the spectators is either a Bullfrog fan or a Chipmunk fan...

by deloitte247 » Sat Feb 29, 2020 9:41 pm

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The spectators are either a Bullfrog or Chipmunk fan and no one is both.
Therefore, total spectators = total Bullfrog fans + total Chipmunk fans.
What is the ratio of Bullfrog fans to Chipmunk fans among spectators at the baseball game?

Statement 1: The number of Chipmunk fans among the spectators is 20% greater than the number of Bullfrog fans.
Let Chipmunk fan = C
Bullfrog fan = B
100% of total = C + B
Where C = B + 20%
100% = B + 20% + B
2B = (100 - 20)%
2B = 80%
B = 80%/2 = 40%
From 100% = C + B; where B = 40%
100% = C + 40%
C = (100 - 20)% = 60%
The ratio of Bullfrog to Chipmunk fans = 40 : 60

Statement 2:
The total number of spectators at the baseball game is 4,400.
Let Chipmunk fan = C
Bullfrog fan = B
Total = C + B; where total = 4,400
4,400 = C + B
If C = 2000 and B = 2400;
C + B = 4400, and B:C = 6:5
If C = 2200 and B = 2200;
C + B = 4400, and B:C = 1:1
Sine we cannot answer the target question with certainty, then, statement 2 is NOT SUFFICIENT.

Therefore, statement 1 alone is SUFFICIENT. Hence, the correct answer is option A.
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