Step by step
The question
Question: share 36 in the ratio 5 to 1.
Share 36 in the ratio 5 : 1
The ratio says how many equal parts each one gets: 5 for the first and 1 for the second.
1st: 5 parts, 2nd: 1 part
Careful!
5 to 1 does not mean dividing 36 by 5 and by 1.
It counts parts of the same size.
Careful: not 36 ÷ 5, 36 ÷ 1 ✗
1 Count the parts
All together there are 5 plus 1: 6 equal parts.
= 5 + 1 = 6 parts
2 Draw the bar
3 Find one part
6 parts make 36.
So one part is 36 divided by 6: 6.
= 1 part = 36 ÷ 6 = 6
Every part is 6.
4 Find each share
The first share has 5 parts: 5 times 6 is 30.
= 1st: 5 × 6 = 30
The second share has 1 part: 1 times 6 is 6.
= 2nd: 1 × 6 = 6
So the shares are 30 and 6.
= 30 and 6
5 Check
Let's check.
The shares add up: 30 plus 6 is 36.
30 + 6 = 36
And divided by 6, they give 5 to 1 again.
So the answer is right!
30 : 6 → ÷ 6 → 5 : 1
Let's look back.
First: count the parts.
Then: draw the bar.
Then: find one part.
Then: find each share.
Last: check.
Answer
= 30 and 6