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- [Instructor] We're
told there are 45 people
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going on a hike along a forest trail.
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They split themselves
equally into teams of five
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to walk together.
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How many hiking teams will there be?
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So like always, pause this
video, try this on your own,
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before we do this together.
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Okay, so let's first just think about
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what one team of hikers would look like.
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So that's five stick figures
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to represent the five people in one team.
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So this is one team.
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And actually let me just, let
me make a little columns here.
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So let me say that's team one.
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And then let's see the
total number of hikers.
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So right now, we have
a total of five hikers.
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Now let's add a second
team. So we'll call that.
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Now we have two teams. And how
many total hikers do we have?
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Five plus five. We now have 10 hikers.
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Let's keep doing this. We
now could add a third team.
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And how many total hikers do we have?
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We now have a total of 15.
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And so this column right over here,
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this is total right over there.
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Let us keep going. We got another team.
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We now have four teams,
for a total of 20 hikers.
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We can add a fifth team.
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Now if we add five to
that, we have 25 hikers.
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Now we can add a sixth
team. Gets us to 30 hikers.
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Notice I'm just adding five every time.
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Then we can get to a seventh team.
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And I'm just gonna keep
adding five hikers,
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until I get to the 45.
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So now I get to 35.
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You might already see where this is going.
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Eight teams gets us to
40, not a coincidence.
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Eight times five is 40.
And then we add five more.
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That's a ninth team. We get to 45 hikers.
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And that makes sense, 'cause
nine times five is 45.
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And so the answer is
how many hiking teams,
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well, there'll be nine.
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Another way to think about
it is if you take 45 hikers,
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and you divide them into teams of five,
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then you are going to get nine teams.