Share 90 in the ratio 1 : 2 : 3

Step by step

The question

Question: share 90 in the ratio 1 to 2 to 3.

The ratio says how many equal parts each one gets: 1 for the first, 2 for the second and 3 for the third.

Careful!

1 to 2 to 3 does not mean dividing 90 by 1 and by 2 and by 3.

It counts parts of the same size.

1 Count the parts

All together there are 1 plus 2 plus 3: 6 equal parts.

2 Draw the bar

3 Find one part

6 parts make 90.

So one part is 90 divided by 6: 15.

Every part is 15.

4 Find each share

The first share has 1 part: 1 times 15 is 15.

The second share has 2 parts: 2 times 15 is 30.

The third share has 3 parts: 3 times 15 is 45.

So the shares are 15, 30 and 45.

5 Check

Let's check.

The shares add up: 15 plus 30 plus 45 is 90.

And divided by 15, they give 1 to 2 to 3 again.

So the answer is right!

Let's look back.

First: count the parts.

Then: draw the bar.

Then: find one part.

Then: find each share.

Last: check.