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A certain aquarium holds three types of fish: angelfish, swordtails and guppies. What is the ratio of the number of

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by BTGmoderatorDC » Wed Dec 23, 2020 4:58 pm

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A certain aquarium holds three types of fish: angelfish, swordtails and guppies. What is the ratio of the number of guppies to the number of angelfish?

(1) There are 200 fish in the aquarium

(2) 45 percent of the fish are swordtails, and there are twice as many swordtails as there are angelfish.



OA B

Source: Magoosh
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Source: — Data Sufficiency |
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Re: A certain aquarium holds three types of fish: angelfish, swordtails and guppies. What is the ratio of the number of

by swerve » Thu Dec 24, 2020 10:17 am
BTGmoderatorDC wrote: ↑
Wed Dec 23, 2020 4:58 pm
 A certain aquarium holds three types of fish: angelfish, swordtails and guppies. What is the ratio of the number of guppies to the number of angelfish?

(1) There are 200 fish in the aquarium

(2) 45 percent of the fish are swordtails, and there are twice as many swordtails as there are angelfish.



OA B

Source: Magoosh
Statement 1:
We are not given a breakdown of the 3 types of fish. Insufficient \(\Large{\color{red}\chi}\)

Statement 2:

\(\dfrac{9}{20}(a+g+s)=s\)
\(s=2a\)
Combining the equations together, we get \(\dfrac{g}{a} = \dfrac{9}{13}\). Sufficient \(\Large{\color{green}\checkmark}\)

Therefore, B
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