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

Question Video: Dividing a Mass into a Two Part Ratio Mathematics

Divide 48 kg in the ratio 2 : 1.

01:22

Video Transcript

Divide 48 kilograms in the ratio two to one.

One way we have to answer this question is sometimes called the add-divide-multiply method. Let’s recall the steps that we take. The first thing we do is establish how many parts we have by adding the numbers in our ratio. Well, we’re sharing in a ratio of two to one. So we add two and one to give us three. That tells us that we’re dividing our original amount into three parts.

Next, we do that division. We divide the original amount by this total. In this case, that’s 48 divided by three, which is equal to 16. That tells us what one part is worth. So here we see that one part is worth 16 kilograms.

Finally, we take this number and we multiply it by each bit in our ratio. Well, the first bit of our ratio is two. Two times 16 is 32. So when we share 48 kilograms in the ratio of two to one, our first bit is 32 kilograms.

Now, of course, the second bit is simply one part. So we don’t really need to do this multiplication. But we will for completion. One times 16 is 16, remembering of course that order matters. So we need to list the largest value first. We see that when we share 48 kilograms in the ratio two to one, we get 32 kilograms and 16 kilograms.

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