Step by step
The question
Question: share $60 in the ratio 3 to 2.
Share $60 in the ratio 3 : 2
The ratio says how many equal parts each one gets: 3 for the first and 2 for the second.
1st: 3 parts, 2nd: 2 parts
Careful!
3 to 2 does not mean dividing $60 by 3 and by 2.
It counts parts of the same size.
Careful: not $60 ÷ 3, $60 ÷ 2 ✗
1 Count the parts
All together there are 3 plus 2: 5 equal parts.
= 3 + 2 = 5 parts
2 Draw the bar
3 Find one part
5 parts make $60.
So one part is 60 divided by 5: $12.
= 1 part = 60 ÷ 5 = $12
Every part is $12.
4 Find each share
The first share has 3 parts: 3 times 12 is $36.
= 1st: 3 × 12 = $36
The second share has 2 parts: 2 times 12 is $24.
= 2nd: 2 × 12 = $24
So the shares are $36 and $24.
= $36 and $24
5 Check
Let's check.
The shares add up: 36 plus 24 is $60.
36 + 24 = 60
And divided by 12, they give 3 to 2 again.
So the answer is right!
36 : 24 → ÷ 12 → 3 : 2
Let's look back.
First: count the parts.
Then: draw the bar.
Then: find one part.
Then: find each share.
Last: check.
Answer
= $36 and $24