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Question

Hi, to any kind mathematician, can you help solve this question? Many thanks in advance.

Source: on sponge

Answer

Area A : Area B : Area C = 6 : 3 : 1

60u : 30u : 10u

 

10% of C overlaps B.

C shaded -> 10% × 10u = 1u

C unshaded -> 10u – 1u = 9u

 

 

20% of B overlaps A -> 20% × 30u = 6u

B shaded -> 6u + 1u = 7u  (1u from overlapping with C)

B unshaded -> 30u – 7u = 23u

 

A unshaded -> 60u – 6u = 54u

 

Total Area -> A + B unshaded + C = 60u + 23u + 10u = 93u

Total unshaded area -> 54u + 23u + 9u = 86u

Unshaded area : Total area = 86 : 93

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