math

posted by .

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.

  • math -

    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

  • math -

    Thank you.

  • math -

    how do you round

  • math -

    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
    (Broken Link Removed)
    (Broken Link Removed)
    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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    a dog runs back and forth between its two owners, who are walking toward one another. the dog starts running when the owners are 10 m apart. if the dog runs with a speed of 3 m/s and the owners each walk with a speed of 1.3 m/s how …
  2. math

    in a group of 100 people, 40 own a cat, 25 own a dog and 15 own a cat and a dog. Find the probability that a person chosen at random a) owns a dog or a cat b) owns a dog or a cat, but not both c)owns a dog, given that he owns a cat …
  3. physics

    A cat is being chased by a dog. Both are running in a straight line at constant speeds. The cat has a head start of 3.3 m. The dog is running with a speed of 9.0 m/s and catches the cat after 6.7 s. How fast did the cat run?
  4. math

    In a group of 100 people 40 own a cat, 25 own a dog and 15 own a cat and a dog. Find the probability that a person selected at random from the group: a) owns a dog or a cat. b) owns a dog or a cat, but not both c) owns a dog, given …
  5. Math

    In a group of 37 children, 14 had a dog, 20 had a cat, and 12 had both a dog and a cat. How many children had neither a dog nor a cat as a pet?
  6. mechanics

    A cat is sleeping on the floor in the middle of a 4m wide room when a barking dog enters with a speed of 1.8m/s. As the dog enters, the cat immediately accelerates at 0.85m/s^2 towards an open window on the opposite side of the room. …
  7. math

    A survey of cat owners showed that 3 our of 16 owners got their cats from animal shelters. Of thee 80 cat owners surveyed, how many did NOT get there cats from shelter?
  8. physics

    A cat is being chased by a dog. Both are running in a straight line at constant speeds. The cat has a head start of 3.6 m. The dog is running with a speed of 8.9 m/s and catches the cat after 6.9 s. How fast did the cat run?
  9. math

    Mrs. Bollo's second grade class of thirty students conducted a pet ownership survey.results of the survey indicated that 8 students own a cat, 15 students own a dog and five students owned neither a cat or a dog. how many of the students …
  10. Statistics and

    In a survey of 144 pet owners, 31 said they own a dog, and 91 said they own a cat. 14 said they own both a dog and a cat. How many owned neither a cat nor a dog?

More Similar Questions