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Jack has 5 cats and 1 dog. If the dog's weight is 3 times the average (arithmetic mean) weight of the cats, then the

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Jack has 5 cats and 1 dog. If the dog's weight is 3 times the average (arithmetic mean) weight of the cats, then the

by AAPL » Tue Feb 09, 2021 7:49 am

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Jack has 5 cats and 1 dog. If the dog's weight is 3 times the average (arithmetic mean) weight of the cats, then the dog's weight is what fraction of the total weight of all 6 animals?

A. 1/4
B. 1/3
C. 3/8
D. 3/7
E. 3/5

OA C
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Re: Jack has 5 cats and 1 dog. If the dog's weight is 3 times the average (arithmetic mean) weight of the cats, then the

by deloitte247 » Sun Feb 14, 2021 2:29 am
Let the average weight of cats = x
weight of cats = 5x
Dog's weight = 3 x average weight of cats = 3x
Total weight = 5x + 3x = 8x
What fraction is the dog's weight from total weight of all 6 animals?
$$=\frac{3x}{8x}=\frac{3}{8}$$

Answer = option C
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