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Type of pet ____ Number of housholds ___ Average # of pets per houshld
Dogs only__________ 16 ___________________1.5
Cats only __________ 24 __________________ 1.25
Dogs&Cats _________ 8 ___________________ 3.25
The table above gives the type and number of pets owned by a group of 48 housholds that own only cats and dogs. If the ratio of the total number of cats to the total number of dogs is 5/3, how many dogs are there?
A) 18
B) 24
C) 30
D) 36
E) 48
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No of dogs only 24 No of cats only 30 No of dogs and cats 26
So total number of dogs and cats is 24+30+26 = 80
This is in the ratio C:D = 5:3
So dogs must be 3/8x80 = 30
So C
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Quite true, but...
There are 'dogs only', 'cats only' and 'both dogs and cats' households. We have 24 dogs at 'dogs only' housholds. If there is a total of 30 dogs, there have to be maximum 6 households that have both cats and dogs. However, according to the table there are 8 such households, thus there have to be a minimum of 24+8 = 32 dogs. Am I right?
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.