Question

white shapes and black shapes are used in a game. some of the shapes are circles, some of the shapes are squares.the ratio of the number of white shapes to the number of black shapes is 7:3. the ratio of the number of white circles to white squares is 2:7. the ratio of the number of black circles to black squares is 1:2. work out the fraction of all the shapes are circles. give your answer as a fraction in its simplest form

Answer 1

The fraction computed shows that 9/32 of the shapes are circles.

How to calculate the information

Find the equivalent ratio for the total shapes:

Total Black Shapes : Total White Shapes = 5 : 11

Multiply by 2:

Total Black Shapes: Total White Shapes = 10 : 22

Find the ratio for the white shapes:

White circles : White squares = 3 : 7

Sum of the units = 3 + 7

Sum of the units = 10

Find the equivalent ratio for the total shapes:

Black circles : Black squares = 3 : 8

Multiply by 2:

Black circles : Black squares = 6 : 16

Sum of the units = 6 + 16

Sum of the units = 22

Combine the ratios:

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

Circles = 3 + 6

Circles = 9 units

Total = 3 + 7 + 6 + 16

Total = 32 units

Find the fraction of all the shapes that are circles:

Fraction = 9/32

Therefore, 9/32 of the shapes are circles

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