Step by step
The question
Question: share 60 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 60 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
We draw the amount as a bar of 5 equal parts.
1 part for the first share and 4 parts for the second share.
All 5 parts together make 60.
3 Find one part
5 parts make 60.
So one part is 60 divided by 5: 12.
Every part is 12.
4 Find each share
The first share has 1 part: 1 times 12 is 12.
The second share has 4 parts: 4 times 12 is 48.
So the shares are 12 and 48.
5 Check
Let's check.
The shares add up: 12 plus 48 is 60.
And divided by 12, 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.