The figure, not drawn to scale, is made up of 3 different triangles F, G and H. 15% of triangle F and 35% of triangle H is shaded. The shaded area of F is the same as the shaded area of H. What fraction of the figure is shaded if 20% of Triangle G is shaded?

Unshaded area of F	Shaded area of F	Unshaded area of H	Shaded area of H
17x7	3x7	13x3	7x3
119 u	21 u	39 u	21 u

15% = ¹⁵₁₀₀ = ³₂₀
35% = ³⁵₁₀₀ = ⁷₂₀
20% = ²⁰₁₀₀ = ¹₅
The shaded area of F is the same as the shaded area of H.

Make the LCM of the shaded area of F and shaded area of H the same.
LCM of 3 and 7 = 21

¹₅ of G is shaded
= Shaded area of F + Shaded area of H
= 21 u + 21 u
= 42 u

Fraction of G that is unshaded 
= 1 - ¹₅
= ⁴₅ 

¹₅ of G = 42 u
⁴₅ of G = 4 x 42 u = 168 u

Fraction of the figure that is shaded if 20% of Triangle G is shaded
= ^{42 + 42}_{119 + 168 + 39 + 42 + 42}
= ⁸⁴₄₁₀
= ⁴²₂₀₅

Answer(s): ⁴²₂₀₅