Share 35 in the ratio 2 : 3

Step by step

The question

Question: share 35 in the ratio 2 to 3.

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

Careful!

2 to 3 does not mean dividing 35 by 2 and by 3.

It counts parts of the same size.

1 Count the parts

All together there are 2 plus 3: 5 equal parts.

2 Draw the bar

3 Find one part

5 parts make 35.

So one part is 35 divided by 5: 7.

Every part is 7.

4 Find each share

The first share has 2 parts: 2 times 7 is 14.

The second share has 3 parts: 3 times 7 is 21.

So the shares are 14 and 21.

5 Check

Let's check.

The shares add up: 14 plus 21 is 35.

And divided by 7, they give 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.