Share 21 in the ratio 3 : 4

Step by step

The question

Question: share 21 in the ratio 3 to 4.

The ratio says how many equal parts each one gets: 3 for the first and 4 for the second.

Careful!

3 to 4 does not mean dividing 21 by 3 and by 4.

It counts parts of the same size.

1 Count the parts

All together there are 3 plus 4: 7 equal parts.

2 Draw the bar

3 Find one part

7 parts make 21.

So one part is 21 divided by 7: 3.

Every part is 3.

4 Find each share

The first share has 3 parts: 3 times 3 is 9.

The second share has 4 parts: 4 times 3 is 12.

So the shares are 9 and 12.

5 Check

Let's check.

The shares add up: 9 plus 12 is 21.

And divided by 3, they give 3 to 4 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.