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.
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.