Respuesta :

mathmate
Nice problem!

Given:
shaded area equals 1/7 of A, and 3/8 of B.

Solution:
Let S=shaded area

For rectangle A,
Total area = S/(1/7)
=7S
Unshaded area
=total area - shaded
=7S - S 
=6S

For rectangle B
Total area
= S/(3/8)
= 8S/3
Unshaded area
=total - shaded
=8S/3 - S
=5S/3

Total unshaded area = 6S + 5S/3 = (18+5)S/3 = 23S/3

Ratio of shaded to total unshaded
= S : 23S/3  
SImplify
= 1 : 23/3

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