Step by step
The question
Question: share 450 in the ratio 4 to 5.
The ratio says how many equal parts each one gets: 4 for the first and 5 for the second.
Careful!
4 to 5 does not mean dividing 450 by 4 and by 5.
It counts parts of the same size.
1 Count the parts
All together there are 4 plus 5: 9 equal parts.
2 Draw the bar
We draw the amount as a bar of 9 equal parts.
4 parts for the first share and 5 parts for the second share.
All 9 parts together make 450.
3 Find one part
9 parts make 450.
So one part is 450 divided by 9: 50.
Every part is 50.
4 Find each share
The first share has 4 parts: 4 times 50 is 200.
The second share has 5 parts: 5 times 50 is 250.
So the shares are 200 and 250.
5 Check
Let's check.
The shares add up: 200 plus 250 is 450.
And divided by 50, they give 4 to 5 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.