At a certain zoo, the ratio of sea lions to penguins is 4 to 11. If th

Question

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

EMPOWERgmatRichC · Accepted Answer

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:  C

GMAT assassins aren't born, they're made,
Rich

CounterSniper · Answer

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

peachfuzz · Answer

4/11 = x / x+84
4*84 = 7x
x=48

C. 48

preetamsaha · Answer

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?

S:P=4:11
or,11S=4P
given, S + 84 = P
or,4s + 336 = 4P
or,4S + 336 = 11S
or, 336 = 7S
or,S = 48

correct answer C

Abhishek009 · Answer

\frac{84}{(11-4)}4 = 48 , Answer must be (C)

ScottTargetTestPrep · Answer

Let’s let 4x = the number of sea lions and 11x = the number of penguins. We can create the equation:

4x + 84 = 11x

84 = 7x

12 = x

Thus, there are 4(12) = 48 sea lions in the zoo.

Answer: C

bumpbot · Answer

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At a certain zoo, the ratio of sea lions to penguins is 4 to 11. If th

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At a certain zoo, the ratio of sea lions to penguins is 4 to 11. If th

Prep Toolkit

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