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At a certain basebal game, each of the spectators is either

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by AAPL » Tue Nov 12, 2019 8:20 am
Princeton Review

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

1) The number of Chipmunks fans among the spectators is 20% greater than the number of Bullfrogs 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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by deloitte247 » Fri Nov 15, 2019 12:54 am
Let Bullfrog's fan = B
Let Chipmunks fan = F
Therefore, since, none of the spectators is a fan of both B and F, then the total spectator = B + F.
Now, what is the ratio Bullfrog fan to Chipmunks among spectators at the baseball game?
i.e Find B:C or B/C
Statement 1: The number of Chipmunks fans among the spectators is 20% greater than the number of Bullfrog's fan.
C = B + 20%
Expressing B and C as percentage and Total as 100% of spectators.
B + C = 100 where C = B + 20
Therefore, B + 20 + B = 100
2B + 20 = 100
B = 80/2 = 40
But, B + C = 100
So, C = 100 - 40 =60
Therefore, B = 40, and C = 60; hence B:C = 40:60 or 40/60. Statement 1 is SUFFICIENT.

Statement 2: The total number of spectators at the Baseball game is 4,400
Total spectator = 4,400
B + C = 4,400
B = 4,400 - C. and C = 4,400 - B
B:C = (4,400 - C) : (4,400 - B)
The value of B and C are unknown, hence, statement 2 is NOT SUFFICIENT.
Since only statement 1 is sufficient, therefore, the correct option is option A.
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