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# A certain aquarium holds three types of fish: angelfish, swordtails an

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Math Expert
Joined: 02 Sep 2009
Posts: 60460
A certain aquarium holds three types of fish: angelfish, swordtails an  [#permalink]

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24 Mar 2015, 04:23
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Difficulty:

35% (medium)

Question Stats:

69% (01:18) correct 31% (01:14) wrong based on 143 sessions

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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.

Kudos for a correct solution.

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Re: A certain aquarium holds three types of fish: angelfish, swordtails an  [#permalink]

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24 Mar 2015, 20:05
1
Bunuel wrote:
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.

Kudos for a correct solution.

Statement 1:
We are not given a breakdown of the 3 types of fish
Insufficient

Statement 2:
(9/20)(a+g+s)=s
s=2a
Combining the equations together, we get g/a = 9/13
Sufficient

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Re: A certain aquarium holds three types of fish: angelfish, swordtails an  [#permalink]

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24 Mar 2015, 23:55
1
Let A,S & G are # of fishes in the tank; # of G/# of A =?

1. Total = 200, no idea about of G & A, insufficient
2. Let total is x, so s=0.45x, a= 0.45x/2 and G= x-3*0.45x/2; so #of G/# of A can be determined by given values. Sufficient

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Re: A certain aquarium holds three types of fish: angelfish, swordtails an  [#permalink]

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24 Mar 2015, 04:32
Bunuel wrote:
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.

Kudos for a correct solution.

Qu: G:A=?
A+S+G=Total

(1) There are 200 fish in the aquarium
We know Total=200 , no information on distribution among A, S and G. NOT SUFFICIENT

(2) 45 percent of the fish are swordtails, and there are twice as many swordtails as there are angelfish.
45%T =S
S=2A
so we know G+A combine to 55% and A is $$45/2 %$$ so G will be $$100-45-22.5$$
we cannot find individual number of fish of each type but we can surely find G:A.

Option B : Sufficient .
Math Expert
Joined: 02 Sep 2009
Posts: 60460
Re: A certain aquarium holds three types of fish: angelfish, swordtails an  [#permalink]

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30 Mar 2015, 04:22
Bunuel wrote:
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.

Kudos for a correct solution.

MAGOOSH OFFICIAL SOLUTION:
Attachment:

guppiesangelfishswordtails_text.PNG [ 19.41 KiB | Viewed 4046 times ]

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Re: A certain aquarium holds three types of fish: angelfish, swordtails an  [#permalink]

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24 Nov 2019, 08:08
Top Contributor
Bunuel wrote:
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.

Given: A certain aquarium holds three types of fish: angelfish, swordtails, and guppies.

Target question: What is the ratio of the number of guppies to the number of angelfish?

Statement 1: There are 200 fish in the aquarium.
Since we are not giving any information about the number of each type of fish, statement 1 is NOT SUFFICIENT

Statement 2: 45 percent of the fish are swordtails, and there are twice as many swordtails as there are angelfish.
There are twice as many swordtails as there are angelfish. 45% ÷ 2 = 22.5%
So, 45% are swordtails and 22.5% are angelfish.

Since all three percentages must add to 100%, we can conclude that the remaining 32.5% are guppies.
We can write: swordtails : angelfish : guppies = 45 : 22.5 : 32.5
The answer to the target question is the ratio of guppies to angelfish = 32.5 : 22.5
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Cheers,
Brent
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Re: A certain aquarium holds three types of fish: angelfish, swordtails an   [#permalink] 24 Nov 2019, 08:08
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