### Video Transcript

Chloe and Michael shared their
lottery winning in the ratio of three to two. Michael received 360 pounds. How much did Chloe receive?

When we answer this question, we’re
going to need to be really careful. We’re told that Chloe and Michael
share their lottery winning. And at first glance, we might see
the ratio of three to two in the value of 360 pounds and think we’re going to share
this value in the ratio three to two. In fact, this is the amount that
Michael received. So in essence, this has already
been shared for us. And our job is then to work out how
much Chloe receives.

So let’s think about the steps we
take when we’re sharing into a ratio and what they actually mean. The first thing we do is add the
numbers in our ratio. This tells us the total number of
parts we have. Then we divide our amount by this
number to find the value of one part. Once we know the value of one part,
we can go on to the next step. We multiply each bit of our ratio
by this number. And so, in this case, we can
disregard the first step.

But what we are going to do is
divide to find the value of one part. Chloe and Michael share their
winning in the ratio of three to two. So the second part of this ratio
represents the number of parts that Michael gets. He gets two parts. So 360 pounds must be worth two
parts. We’re going to divide this number
by two to find the value of one part. 360 divided by two is 180. So we see that one part is worth
180 pounds.

And so, once we’ve done this,
what’s our final step? Well, we’re going to multiply 180
pounds by the number of parts that Chloe receives. Chloe receives three parts, so we
multiply 180 by three. This gives us a value of 540
pounds. Chloe receives 540 pounds. And, in fact, we could check our
answer.

We’ve said that Chloe receives 540
pounds and Michael 360. So let’s put this in a ratio and
simplify it. We could do this in a few
steps. But in fact, both of these numbers
are divisible by 180. Since the units are the same, we no
longer need them. And we see that to simplify 540 to
360, we get three to two. This is the same as the ratio given
to us in our question. So we know we’ve done it
correctly. Chloe gets 540 pounds.