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13 Dec 2015, 05:06
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88% (01:28) correct
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At a certain zoo, the ratio of sea lions to penguins is 4 to 11. If there are 84 more penguins than sea lions at the zoo, how many sea lions are there?
A. 24
B. 36
C. 48
D. 72
E. 132
A. 24
B. 36
C. 48
D. 72
E. 132
14 Dec 2015, 18:13
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Hi All,
Ratio questions will appear on Test Day in a variety of 'formats', but the basic rules behind ratios stay the same - so you can use those rules to your advantage and answer these types of prompts in a variety of different ways.
We're told that the ratio of sea lions to penguins is 4 to 11. This means that the number of sea lions MUST be a multiple of 4 the number of penguins MUST be an equivalent multiple of 11.
So we could have...
4 sea lions and 11 penguins
8 sea lions and 22 penguins
12 sea lions and 33 penguins
Etc.
Using those same examples, notice what happens to the DIFFERENCE in the number of animals...
4 sea lions and 11 penguins --> difference = 7
8 sea lions and 22 penguins --> difference = 14
12 sea lions and 33 penguins --> difference = 21
Etc.
Thus, the difference is an increasing multiple of 7
Next we're told that there are 84 more penguins than sea lions at the zoo. We're asked how many sea lions there are.
84 is a multiple of 7 --> 84/7 = 12
Thus there are 4(12) = 48 sea lions and 11(12) = 132 penguins
Final Answer:
GMAT assassins aren't born, they're made,
Rich
Ratio questions will appear on Test Day in a variety of 'formats', but the basic rules behind ratios stay the same - so you can use those rules to your advantage and answer these types of prompts in a variety of different ways.
We're told that the ratio of sea lions to penguins is 4 to 11. This means that the number of sea lions MUST be a multiple of 4 the number of penguins MUST be an equivalent multiple of 11.
So we could have...
4 sea lions and 11 penguins
8 sea lions and 22 penguins
12 sea lions and 33 penguins
Etc.
Using those same examples, notice what happens to the DIFFERENCE in the number of animals...
4 sea lions and 11 penguins --> difference = 7
8 sea lions and 22 penguins --> difference = 14
12 sea lions and 33 penguins --> difference = 21
Etc.
Thus, the difference is an increasing multiple of 7
Next we're told that there are 84 more penguins than sea lions at the zoo. We're asked how many sea lions there are.
84 is a multiple of 7 --> 84/7 = 12
Thus there are 4(12) = 48 sea lions and 11(12) = 132 penguins
Final Answer:
GMAT assassins aren't born, they're made,
Rich
13 Dec 2015, 12:37
Kudos
Bookmarks
The ratio as mentioned = 4/11
also
sea lion + 84 = penguins
or,
4x+84=11x
x=84/7=12
number of sea lions= 12*4=48
also
sea lion + 84 = penguins
or,
4x+84=11x
x=84/7=12
number of sea lions= 12*4=48
