Respuesta :
Answer:
The fraction of all shapes which are square in shape is [tex]\frac{23}{32}[/tex].
Step-by-step explanation:
Given that , in a game , white and black shapes are used. Some of them are circle in shape and remains are square in shape.
The ratio of white to black shapes are 5:11.
Consider 5x= the number of shapes which are white in color.
11x= The number of shapes which are black in color.
There are (5x+11x)= 16x shapes in the game.
The white circle and white square are in the ratio 3:7.
The number of white square is
[tex]=(\textrm{The number of white shape})\times (\frac{7}{3+7})[/tex]
[tex]=(5x)\times (\frac{7}{10})[/tex]
[tex]=\frac{7x}{2}[/tex]
The black circles and black square are in the ratio 3:8
The number of black square is
[tex]=(\textrm{The number of black shape})\times (\frac{8}{3+8})[/tex]
[tex]=(11x)\times (\frac{8}{11})[/tex]
=8x
Therefore the total number of shape which are square is
[tex]=\frac{7x}{2}+8x[/tex]
[tex]=\frac{7x+16x}{2}[/tex]
[tex]=\frac{23x}{2}[/tex]
The fraction of all shape are square is
[tex]=\frac{\textrm{shape in square}}{\textrm{Total number shape}}[/tex]
[tex]=\frac{\frac{23x}{2}}{16x}[/tex]
[tex]=\frac{23}{32}[/tex]
