Answer:
the fractions of all the shapes are circles can be obtained would be computed as:
[tex]\frac{450}{1600}=\frac{9}{32}[/tex]
Step-by-step explanation:
The fraction of the number of white shapes to the number of black shapes is 5/11.
Let us consider that there are:
As the fraction of the number of white circles to the number of white squares is 3:7
It means out of 10 total parts, 3/10 are white circles and 7/10 are white squares.
Calculating Number of white circles:
[tex]\frac{3}{{10}} \times 500=150[/tex]
Calculating Number of white squares:
[tex]\frac{7}{{10}} \times 500=350[/tex]
As the fraction of the number of black circles to the number of black squares is 3:8.
Calculating Number of black circles:
[tex]\frac{3}{{11}} \times 1100=300[/tex]
Calculating Number of black squares:
[tex]\frac{8}{{11}} \times 1100=800[/tex]
As
- the total number of circles is 150 + 300 = 450, and
- the total number of shapes is 500 + 1100 = 1600
Therefore, the fractions of all the shapes are circles can be obtained would be computed as:
[tex]\frac{450}{1600}=\frac{9}{32}[/tex]
