Step by step
The question
Question: share 360 in the ratio 2 to 3 to 4.
The ratio says how many equal parts each one gets: 2 for the first, 3 for the second and 4 for the third.
Careful!
2 to 3 to 4 does not mean dividing 360 by 2 and by 3 and by 4.
It counts parts of the same size.
1 Count the parts
All together there are 2 plus 3 plus 4: 9 equal parts.
2 Draw the bar
We draw the amount as a bar of 9 equal parts.
2 parts for the first share, 3 parts for the second share and 4 parts for the third share.
All 9 parts together make 360.
3 Find one part
9 parts make 360.
So one part is 360 divided by 9: 40.
Every part is 40.
4 Find each share
The first share has 2 parts: 2 times 40 is 80.
The second share has 3 parts: 3 times 40 is 120.
The third share has 4 parts: 4 times 40 is 160.
So the shares are 80, 120 and 160.
5 Check
Let's check.
The shares add up: 80 plus 120 plus 160 is 360.
And divided by 40, they give 2 to 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.