Share 30 in the ratio 1 : 4

Step by step

The question

Question: share 30 in the ratio 1 to 4.

The ratio says how many equal parts each one gets: 1 for the first and 4 for the second.

Careful!

1 to 4 does not mean dividing 30 by 1 and by 4.

It counts parts of the same size.

1 Count the parts

All together there are 1 plus 4: 5 equal parts.

2 Draw the bar

3 Find one part

5 parts make 30.

So one part is 30 divided by 5: 6.

Every part is 6.

4 Find each share

The first share has 1 part: 1 times 6 is 6.

The second share has 4 parts: 4 times 6 is 24.

So the shares are 6 and 24.

5 Check

Let's check.

The shares add up: 6 plus 24 is 30.

And divided by 6, they give 1 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.