Answer:
The fraction of all the shapes are circles is
Step-by-step explanation:
There are two types of the shapes in a game.
Circle
Square
The ratio of number of white shapes to the number of black shapes is 5 : 11.
Consider there are 50 white shapes and 110 black shapes.
The ratio of the number of white circles to the number of white squares is 3 : 7.
Here 3/10 of the white shapes are circle and 7/10 are white squares.
The number of white circles can be obtained as follows,
White circles = 3/10 × 50
= 50
The number of white squares can be obtained as follows,
White squares = 7/10 × 50
= 35
The number of black circles to the number of black squares is 3/8.
The number of black circles can be obtained as follows,
Black circles = 3/11 × 110
= 30
The number of black squares can be obtained as follows,
Black squares = 8/11 × 110
= 80
The total number of circles is 30 + 15 = 45 and the total number of shapes is 50 + 110 = 160.
The fractions of all the shapes are circles are 45/160 which is simplified to 9/32
The fraction of all the shapes are circles is 9/32
