math
posted by Lenovo .
The figure shows 2 similar squares, A and B which overlap each other. The ratio of the shaded area to the total area of square B is 3:5. The ratio of the shaded area to the total area of square A is 9:17. What is the ratio of the shaded area to the total unshaded areas of the figure?

we have
s/b = 3/5
s/a = 9/17
total unshaded area is a+bs, and we want
s/(a+bs)
we know that
b = 5/3 s
a = 17/9 s
so, we have
s/(a+bs) = s/(5/3 s + 17/9 s  s)
= s/(23/9 s)
= 9/23 
I still don't understand

9/23
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