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10 Nov 2017, 19:16
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
78% (02:29) correct
22%
(02:35)
wrong
based on 339
sessions
History
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Not Attempted Yet
Attachment:
File comment: Distribution
Zoo.PNG [ 7.78 KiB | Viewed 11558 times ]
If 8 tigers were added to the zoo, the new ratio of lions to tigers would be 4 to 3. How many bobcats are at the zoo?Zoo.PNG [ 7.78 KiB | Viewed 11558 times ]
A. 4
B. 8
C. 12
D. 24
E. 48
10 Nov 2017, 20:00
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Gnpth
Let the common ratio of animals be x..
Tigers = 8x+8 and lions =32x
So ratio = \(\frac{8x+8}{32x}=\frac{3}{4}......32x+32=96x.....x=1/2\)
Number of bobcats. = 24*1/2=12
C
25 Feb 2019, 23:30
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Solution
Given:
- • The given table shows the percentage distribution of different types of animals in a zoo
• If 8 tigers were added, then the new ratio of lions to tigers would be 4: 3
To find:
- • The number of bobcats present in the zoo
Approach and Working:
Let us assume that total number of animals in the zoo is 100a.
- • Number of lions = 32a
• Number of tigers = 8a
If 8 more tigers are added, then number of tigers become 8a + 8.
As per the given question,
- • 32a: (8a + 8) = 4: 3
Or, \(\frac{4a}{a+1} = \frac{4}{3}\)
Or, 12a = 4a + 4
Or, 8a = 4
Or, a = 0.5
Therefore, number of bobcats = 24a = 24 x 0.5 = 12
Hence, the correct answer is option C.
Answer: C
26 Feb 2019, 01:09
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Gnpth
Use Ratios:
Current Lions:Tigers = 32:8 = 4:1
New Lions:Tigers = 4:3
The number of lions stay the same. We do have the same 4 in both ratios. Hence the difference of 2 on the ratio scale in number of tigers is actually equal to 8 (since 8 tigers were added). So the multiplier is 4.
Current Lions = 4*4 = 16
Ratio of Lions:Bobcats = 32:24 = 4:3
Number of bobcats then = 3*4 = 12
Answer (C)
