In a surey of 375 dog and cat owners there were 215 dog owners and 193 cat owners. how many in the survey own a dog
2 answers:
First, draw venn diagram and determine how many people own both cat and dog. See image attached.
x represents the number of people own both cat and dog
dog only owner + cat only owner + both cat and dog owner = 375
215 - x + 193 - x + x = 375
408 - x = 375
x = 408 - 375
x = 33
The number of people own both cat and dog is 33
Second, find the number of people own dog only
dog only = 215 - 33
dog only = 182
The number of people own dog only is 182
x represents the number of people own both cat and dog
dog only owner + cat only owner + both cat and dog owner = 375
215 - x + 193 - x + x = 375
408 - x = 375
x = 408 - 375
x = 33
The number of people own both cat and dog is 33
Second, find the number of people own dog only
dog only = 215 - 33
dog only = 182
The number of people own dog only is 182
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