In a community of 416 people, each person owns a dog or a cat or both. If there are 316 dog owners and 280 cat owners, how many of the dog owners own no cat?
The choices are:
36
100
136
180
316
I think the answer is either 180 or 316, but I'm not sure.
Do it with Venn diagrams
draw two intersecting circles, label the overlap as x
This will represent the people owning both cats and dogs
label one circle D for dogs, the other C for cats
label the part of circle D without the overlap as 316-x
label the part of the circle C without the overlap 280-x
now 316-x + x + 280-x = 416
x = 180
so the dog owners owning "no cat" would be those in the D circle outside the overlap or 316-x = 316-180 = 136
Thank you.
how do you round
First, if you have a question, it is much better to put it in as a separate post in <Post a New Question> rather than attaching it to a previous question, where it is more likely to be overlooked.
Even so, I searched Google under the key words "rounding number rules" to get these possible sources:
http://math.about.com/od/arithmetic/a/Rounding.htm
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http://en.wikipedia.org/wiki/Rounding
http://www.math.com/school/subject1/lessons/S1U1L3DP.html
In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search.
I hope this helps. Thanks for asking.
To find the number of dog owners who own no cat, we need to subtract the number of dog owners who also own a cat from the total number of dog owners.
First, let's calculate the number of people who own both a dog and a cat. We do this by finding the intersection between the dog owners (316) and the cat owners (280), which gives us 280.
Next, we subtract the number of people who own both a dog and a cat from the total number of dog owners: 316 - 280 = 36.
Therefore, the correct answer is 36.