Question

White shapes and black shapes are used in a game.
Some of the shapes are circles.
All the other shapes are squares.
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The ratio of the number of white shapes to the number of black shapes is 5:11
The ratio of the number of white circles to the number of white squares is 3:7
The ratio of the number of black circles to the number of black squares is 3:8
Work out what fraction of all the shapes are circles.

Answer 1

The fraction of the shape that is circle is  9/32.

What is a Circle's Shape?

A circle is known to have a kind of round figure that does not have any  corners or edges. They are said to be closed and two-dimensional curved shape. e.g. wall clock, a lollipop. etc.

For better understanding, note that:

The Total Black Shapes  is = 5 : 11 and then you divide by 2 to give

 10 : 22

The ratio for the white shapes is  3 : 7

Then you Sum up the units = 3 + 7 = 10

To Find the equivalent ratio for the total shapes, one has to know:

Black squares = 3 : 8  and then Multiply by 2:

Black circles  is said to be Black squares and their ratio is = 6 : 16

The Sum of the units = 6 + 16 = 22

Then you have to combine the ratios all together:

Therefore White circles : white squares : black circles : black square = 3 : 7 : 6 : 16

The Circles = 3 + 6 = 9 units

Total = 3 + 7 + 6 + 16 =32 units

The fraction of all the shapes that are circles = 9/32

Therefore,  9/32 of the shapes found are circles.

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