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A zoo has twice as many zebras as lions and four times as ma
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19 Aug 2018, 03:20
19 Aug 2018, 03:20
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A zoo has twice as many zebras as lions and four times as many monkeys as zebras. Which of the following could be the total number of zebras, lions, and monkeys at the zoo?
Indicate all such totals.
A. 14
B. 22
C. 28
D. 55
E. 121
Indicate all such totals.
A. 14
B. 22
C. 28
D. 55
E. 121
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Re: A zoo has twice as many zebras as lions and four times as ma
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25 Aug 2018, 09:22
25 Aug 2018, 09:22
2
sandy wrote:
A zoo has twice as many zebras as lions and four times as many monkeys as zebras. Which of the following could be the total number of zebras, lions, and monkeys at the zoo?
Indicate all such totals.
A. 14
B. 22
C. 28
D. 55
E. 121
Indicate all such totals.
A. 14
B. 22
C. 28
D. 55
E. 121
A zoo has twice as many zebras as lions
So, the ratio of zebras to lions = 2 : 1
Or we can write: Z : L = 2 : 1
There are four times as many monkeys as zebras
So, if Z = 2, then M = 8
In other words, M : Z : L = 8 : 2 : 1
So, one possible scenario is: 8 monkeys, 2 zebras and 1 lion (total = 11 animals)
Another possible scenario is: 16 monkeys, 4 zebras and 2 lions (total = 22 animals)
Another possible scenario is: 24 monkeys, 6 zebras and 3 lions (total = 33 animals)
Another possible scenario is: 32 monkeys, 8 zebras and 4 lions (total = 44 animals)
etc....
As we can see, the total number of animals must be a multiple of 11
Check the answer choices.....
B, D and E are multiples of 11
Answer: B, D, E
Cheers,
Brent
Re: A zoo has twice as many zebras as lions and four times as ma
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25 Mar 2020, 14:48
25 Mar 2020, 14:48
GreenlightTestPrep wrote:
sandy wrote:
A zoo has twice as many zebras as lions and four times as many monkeys as zebras. Which of the following could be the total number of zebras, lions, and monkeys at the zoo?
Indicate all such totals.
A. 14
B. 22
C. 28
D. 55
E. 121
Indicate all such totals.
A. 14
B. 22
C. 28
D. 55
E. 121
A zoo has twice as many zebras as lions
So, the ratio of zebras to lions = 2 : 1
Or we can write: Z : L = 2 : 1
There are four times as many monkeys as zebras
So, if Z = 2, then M = 8
In other words, M : Z : L = 8 : 2 : 1
So, one possible scenario is: 8 monkeys, 2 zebras and 1 lion (total = 11 animals)
Another possible scenario is: 16 monkeys, 4 zebras and 2 lions (total = 22 animals)
Another possible scenario is: 24 monkeys, 6 zebras and 3 lions (total = 33 animals)
Another possible scenario is: 32 monkeys, 8 zebras and 4 lions (total = 44 animals)
etc....
As we can see, the total number of animals must be a multiple of 11
Check the answer choices.....
B, D and E are multiples of 11
Answer: B, D, E
Cheers,
Brent
I read in a GMAT book that "There are four times as many monkeys as zebras" would mean Monkeys/4 = the number of zebras. So 4z=M.
Can you explain why that isn't the case here? I got the right answer, so I'm up to speed on the concept, but had to work through this clutter.
