Saturday, August 17, 2013

Puppy Party


Dogs are all related to each other, but they come in 
all different shapes, sizes...and colors.  Dogs can be white, brown, black, grey, spotted, or mixtures of these. But one favorite dog breed is golden: the Golden Retriever. These super-fluffy, super-friendly dogs are so named because they like to fetch animals while out hunting with their owners. In fact, they'll fetch anything you throw, from a ball to a stick to a newspaper. Given their popularity, it's no surprise that goldens get their own party to celebrate their existence. Once a year the Golden Retriever Club of Scotland holds a giant "Golden Gathering" at Guisachan, which is where the breed was officially born. This year, 222 dogs showed up and romped around chasing flying objects and each other. We just hope someone had a lot of treats handy, and a good pooper-scooper.
   
Here’s the problem:

If the dogs are divided into groups of either 3 or 5 to play Frisbee, and you need one Frisbee per group, what's the smallest number of Frisbees you'll need to have on hand?

Solution:
Here is your solution. Check it against your answer, how did you do?
Ms. L.

The smallest number of Frisbees needed are 46. The bigger the groups, the fewer Frisbees you'll have, but 222 isn't evenly divisible by 5. The closest multiple of 5 that leaves a multiple of 3 left over is 210, which gives you 42 groups. That leaves 12 more dogs, who can be divided into 4 groups of 3.



Welcome to the 6th Grade Blog!

Welcome!  Each week you will find your Problem of the Week here.  These will be published on Sunday and you have until the following Friday class period to submit your response.  You will be graded on the following criteria:


  1. You have restated the problem in your own words. (10%)
  2. You have provided a reasonable answer. (40%)
  3. You have supported your answer with reasons why or how you got your answer.  (Remember this is a math class so your opinion is not accepted as the reason, you must support your answer with mathematics.)  - (40%)
  4. You have written your responses in complete sentences and proper grammar.  (There is an automatic spell checker built into Blogger so spelling should not be a problem for you. (10%)
Make sure to put the initial of your first name and the initial of your last name and your class period on your post.

Your posts and the solutions will be posted the following week.  All posts are monitored before publication.

Good luck and have fun!
Ms. Leckman