Step by step
The question
Question: a circle graph of 80 kids has a 144° slice for soccer: how many soccer?
soccer: 144°, 80 kids in all
Here is the slice.
144° of the 360° circle.
1 Angle over 360
The slice is 144 out of 360 degrees.
144 and 360 can both be divided by 72: 2/5.
= 144360 = 144 ÷ 72360 ÷ 72 = 25
Careful!
Degrees are out of 360, not out of 100.
Careful: not 144% ✗
2 Of the total
2/5 of all 80 kids.
80 divided by 5 is 16.
Times 2: 32 kids.
= 25 × 80 = 32
3 Check
Let's check: 32 out of 80 is 2/5.
2/5 of 360 is 144°, the slice.
So the answer is right!
32 out of 80 = 25 of 360 = 144°
Let's look back.
First: angle over 360.
Then: of the total.
Last: check.
Answer
= 25 × 80 = 32