Question Video: Dividing Money into a Two Part Ratio | Nagwa Question Video: Dividing Money into a Two Part Ratio | Nagwa

# Question Video: Dividing Money into a Two Part Ratio Mathematics

Chloe and Michael shared their lottery winning in the ratio of 3 : 2. Michael received £360. How much did Chloe receive?

02:27

### 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.

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