Step by step
The question
Question: share 66 in the ratio 1 to 4 to 6.
The ratio says how many equal parts each one gets: 1 for the first, 4 for the second and 6 for the third.
Careful!
1 to 4 to 6 does not mean dividing 66 by 1 and by 4 and by 6.
It counts parts of the same size.
1 Count the parts
All together there are 1 plus 4 plus 6: 11 equal parts.
2 Draw the bar
3 Find one part
11 parts make 66.
So one part is 66 divided by 11: 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.
The third share has 6 parts: 6 times 6 is 36.
So the shares are 6, 24 and 36.
5 Check
Let's check.
The shares add up: 6 plus 24 plus 36 is 66.
And divided by 6, they give 1 to 4 to 6 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.