Solving division word problems: How many groups?

- [Speaker] We're told there
are 45 people going on a hike

along a forest trail.

They split themselves
equally into teams of five

to walk together.

How many hiking teams will there be?

So like always pause this
video, try this on your own

before we do this together.

Okay.

So let's first just think
about what one team of hikers

would look like.

So that's five stick figures

to represent the five people in one team.

So this is one team.

And actually let me just, let
me make a little columns here.

So let me say, that's team one.

And then let's see the
total number of hikers.

So right now, we have
a total of five hikers.

Now let's add a second team.

So we'll call that.

Now we have two teams.

And how many total hikers do we have?

Five plus five.
We now have 10 hikers.

Let's keep doing this.

We now could add a third team.

And how many total hikers do we have?

We now have a total of 15.

And so this column right over here,

this is total.
Right over there.

Let us keep going.
We got another team.

We now have four teams
for total of 20 hikers.

We can add a 15.

Now if we add five to
that, we have 25 hikers.

Now we can add a sixth
team gets us to 30 hikers.

Notice I'm just adding five every time.

Then we can get to a seventh team

and I'm just gonna keep adding five hikers

until I get to the 45.

So now I get to 35,

you might already see where this is going.

Eight teams gets us to
40, not a coincidence.

Eight times five is 40.
And then we add five more.

That's a ninth team.
We get to 45 hikers.

And that makes sense 'cause
nine times five is 45.

And so the answer is
how many hiking teams?

Well, there'll be nine.

Another way to think about
it is if you take 45 hikers

and you divide them into teams
of five, then you are going

to get nine teams.