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In a certain aquarium, the number of red fish is three times the numbe

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Bunuel
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In a certain aquarium, the number of red fish is three times the numbe [#permalink] New post   01 Jun 2021, 05:30
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In a certain aquarium, the number of red fish is three times the number of the green fish, and the number of blue fish is half the number of the red fish. If the ratio of green fish to red fish were to be doubled, and the ratio of red fish to blue fish were to be doubled, then the ratio of blue fish to green fish in that aquarium would be

A. 3:2
B. 1:1
C. 1:2
D. 3:4
E. 3:8
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E
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Re: In a certain aquarium, the number of red fish is three times the numbe [#permalink] New post   01 Jun 2021, 05:42
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Bunuel wrote:
In a certain aquarium, the number of red fish is three times the number of the green fish, and the number of blue fish is half the number of the red fish. If the ratio of green fish to red fish were to be doubled, and the ratio of red fish to blue fish were to be doubled, then the ratio of blue fish to green fish in that aquarium would be

A. 3:2
B. 1:1
C. 1:2
D. 3:4
E. 3:8


Red : Green = 3 : 1

Blue : Red = 1 : 2


New Ratio - Green : Red = 2*(1 : 3) = 2:3 = 8:12 -----(1)
New Ratio - Red : Blue = 2*(2 : 1) = 4:1 = 12:3 -----(2)

Multiply 1st Ratio by 4 and second ratio by 3 so that Red becomes a common multiple of 3 and 4 i.e. 12 to combine teh two new ratios

Now, Green : Red : Blue = 8:12:3

Blue : Green = 3 : 8

Answer: Option E

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Re: In a certain aquarium, the number of red fish is three times the numbe [#permalink] New post   01 Jun 2021, 05:45
Ratio of Red to Green: 3/1
Ratio of Red to Blue: 2/1

Doubling Ratio of Green to Red: 2/3
Doubling Ratio of Red to Blue: 4/1

Make red the denominator for each: 2/3 and 1/4
Find a common denominator: 8/12 and 3/12

Ratio of Blue Fish Green: 3/8
Answer E
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Re: In a certain aquarium, the number of red fish is three times the numbe [#permalink] New post   01 Jun 2021, 08:37
R:G:B
6: 2
2: : 1
12:4:6
6:2:3

now G:R is doubled ; 2*(2:6) ; 2:3
and R:B is doubled ; 2 *( 6:3) ; 4:1
R:G:B
3:2:
4: :1
12:8:3

we get B:G ; 3:8
option E

Bunuel wrote:
In a certain aquarium, the number of red fish is three times the number of the green fish, and the number of blue fish is half the number of the red fish. If the ratio of green fish to red fish were to be doubled, and the ratio of red fish to blue fish were to be doubled, then the ratio of blue fish to green fish in that aquarium would be

A. 3:2
B. 1:1
C. 1:2
D. 3:4
E. 3:8
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Re: In a certain aquarium, the number of red fish is three times the numbe [#permalink] New post   12 Sep 2022, 13:03
Hello from the GMAT Club BumpBot!

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Re: In a certain aquarium, the number of red fish is three times the numbe [#permalink]
12 Sep 2022, 13:03
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