math

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.

  1. 👍 0
  2. 👎 0
  3. 👁 51
asked by Lisa
  1. 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

    1. 👍 0
    2. 👎 0
    posted by Reiny
  2. Thank you.

    1. 👍 0
    2. 👎 0
    posted by Lisa
  3. how do you round

    1. 👍 0
    2. 👎 0
    posted by marlene
  4. 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.

    1. 👍 0
    2. 👎 0
    posted by PsyDAG

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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

    asked by terry on March 13, 2010
  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 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,

    asked by sabir on February 17, 2013
  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 3.6 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?

    asked by Alexis on September 24, 2014
  4. 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? I see

    asked by angela on September 16, 2011
  5. 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?

    asked by Josh on October 8, 2016
  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

    asked by Kemmone on April 4, 2013
  7. Behavioral Science

    A man has a dog, cat, and mouse on one side of the river. He needs to get all of the animals over to the other side of the river. He can only take one animal at a time. If he leaves the cat alone with the mouse the cat will eat

    asked by Aria Sequoia on February 28, 2011
  8. Physics

    You are walking a dog when the dog sees a cat and runs away from you. You immediately run after the dog at 5.50 m/s. You jump at an angle of 29.0° to try and catch the dog. While you are in the air the dog is able to move an

    asked by AL on September 27, 2016
  9. Physics

    You are walking a dog when the dog sees a cat and runs away from you. You immediately run after the dog at 4.90 m/s. You jump at an angle of 30.0° to try and catch the dog. While you are in the air the dog is able to move an

    asked by Tom on September 24, 2016
  10. Physics

    You are walking a dog when the dog sees a cat and runs away from you. You immediately run after the dog at 4.20 m/s. You jump at an angle of 28.0° to try and catch the dog. While you are in the air the dog is able to move an

    asked by Brooklyn on September 24, 2016

More Similar Questions