Lots of Dogs, Lots of Legs

What are all these dogs and people doing? The people are running a 3-legged race while walking their dogs! To run a 3-legged race, 2 people stand next to each other, and strap together the 2 legs touching each other. So now instead of 4 legs all together, they have 3. That makes it tricky to walk: you have to move your right leg while I move my left. Now try doing that with your dog pulling you!

Wee ones: If each team has a dog and 2 people, how many players are on a team?

Little kids: If each team has 2 people and a dog, how many legs on a team?  Bonus: What kind of player would have to join them to make 10 legs in total?

Big kids: If 24 people and 13 dogs want to race, will they have leftover dogs or people once they pair up?  Bonus: The club’s biggest barbecue ever had 222 dogs! How many furry paws did they have all together?

The sky’s the limit: If there are 81 players in total on a bunch of teams as described in the Little kids question, how many of each kind of player do they have?

Answers:
Wee ones: 3 players.

Little kids: 8 legs.  Bonus: Another person, to add 2 legs.

Big kids: 1 leftover dog, since the 24 people need only 12 dogs.  Bonus: 888 furry paws.

The sky’s the limit: 27 dogs and 54 people. There are 3 players on a team, so 81 players make 27 teams. Then each team has 1 dog and 2 people.

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