Video Transcript
A girl wants to share 45 oranges
equally among five people. How many oranges will each person
receive?
Now, sometimes in a word problem,
we might see a word that’ll give us a clue as to what we need to do to solve the
problem. And in this problem, there is one
of those words. Can you spot it? It’s the word share. And we could also include this word
equally here because when we share or split something up equally, this is the same
as dividing it. It looks like this might be a
problem that we need to use division to solve. But you know, one of the best ways
we can model a problem like this to work out exactly what we need to do is to use a
bar model. So let’s use a bar model here.
The first thing we know about the
girl in the question is that she has 45 oranges. This is the number she begins
with. It’s the whole amount. So we can start sketching our bar
model by drawing one long bar, and this can represent the whole amount of 45
oranges. Now what does this girl do with
these oranges? She wants to share them or divide
them equally among five people. In other words, she wants to split
up this whole amount of 45 into five equal parts, and we could show this on our bar
model. Here’s the whole amount, and we can
divide it into one, two, three, four, five equal groups. And our question is asking us, how
many oranges will each person receive? In other words, what’s each one of
these groups worth? What is 45 divided by five?
Perhaps we can think of some times
tables facts that could help us here. How many fives make 45? We know that 10 fives are 50. 45 is one lot of five less than
50. So instead of 10 fives, 45 is one
lot of five less. It’s nine fives. 45 divided by five equals nine, and
we could complete this bar model to show this. Each of the five bars is worth
nine: nine, 18, 27, 36, 45. We’ve used our bar model to show
that 45 divided by five equals nine. And so if a girl wants to share 45
oranges equally between five people, each person will receive nine oranges.
