Answer:
The fraction of all shapes are circle is 3/4 (18/24)
Step-by-step explanation:
* Lets explain how to solve the problem
- There are white and black circles
- There are white and black squares
- The ratio of the number of white shapes to the number of black
shapes is 5/1
∴ The total of the ratio of the all shapes is 5 + 1 = 6
∴ The ratio of the number of the white shapes to the number of all
shapes is 5/6
∴ The ratio of the number of the black shapes to the number of all
shapes is 1/6
- The ratio of the number of white circles to the number of white
squares is 3/1
∴ The total of the ratio of the white shapes is 3 + 1 = 4
∴ The ratio of the number of the white circles to the number of white
shapes is 3/4
∵ The ratio of the number of the white shapes to the number of all
shapes is 5/6
∴ The ratio of the number of the white circles to the number of the all
shapes = 3/4 × 5/6 = 15/24
- The ratio of the number of black circles to the number of black
squares is 3/1
∴ The total of the ratio of the black shapes is 3 + 1 = 4
∴ The ratio of the number of the black circles to the number of black
shapes is 3/4
∵ The ratio of the number of the black shapes to the number of all
shapes is 1/6
∴ The ratio of the number of the black circles to the number of the all
shapes = 3/4 × 1/6 = 3/24
- The ratio of the number of the circles to the number of the all shapes
is equal to the sum of the ratio of the white and the black circles to
the number of all shapes
∴ The ratio of the number of the circle to the number of all shapes is
15/24 + 3/24 = 18/24 ⇒ divide up and down by 6
∴ The fraction of all shapes are circle is 3/4
