The figure, not drawn to scale, is made up of 3 different triangles G, H and J. 20% of triangle G and 35% of triangle J is shaded. The shaded area of G is the same as the shaded area of J. What fraction of the figure is shaded if 25% of Triangle H is shaded?

Unshaded area of G	Shaded area of G	Unshaded area of J	Shaded area of J
4x7	1x7	13x1	7x1
28 u	7 u	13 u	7 u

20% = ²⁰₁₀₀ = ¹₅
35% = ³⁵₁₀₀ = ⁷₂₀
25% = ²⁵₁₀₀ = ¹₄
The shaded area of G is the same as the shaded area of J.

Make the LCM of the shaded area of G and shaded area of J the same.
LCM of 1 and 7 = 7

¹₄ of H is shaded
= Shaded area of G + Shaded area of J
= 7 u + 7 u
= 14 u

Fraction of H that is unshaded 
= 1 - ¹₄
= ³₄ 

¹₄ of H = 14 u
³₄ of H = 3 x 14 u = 42 u

Fraction of the figure that is shaded if 25% of Triangle H is shaded
= ^{14 + 14}_{28 + 42 + 13 + 14 + 14}
= ²⁸₁₁₁

Answer(s): ²⁸₁₁₁