Question

White shapes and black shapes are used in a game.

Some of the shapes are circles.
All the other shapes are squares.
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.
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Answer 1

9

Explanation:

A ratio is a direct variation of a some objects to other objects.

The parts of a ratio is called a partition. The partition adds up to the full amount of objects.

There is a total of 10 white objects so there must be 22 black objects.

Since the ratio of black circles to black squares is 3:8.

And there is a total of 11 objects, we just multiply the ratio by 2.So this means ther 6 total of black circle circles. So we have a total of

9 circles.