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

Unshaded area of E	Shaded area of E	Unshaded area of G	Shaded area of G
3x7	1x7	13x1	7x1
21 u	7 u	13 u	7 u

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

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

¹₅ of F is shaded
= Shaded area of E + Shaded area of G
= 7 u + 7 u
= 14 u

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

¹₅ of F = 14 u
⁴₅ of F = 4 x 14 u = 56 u

Fraction of the figure that is shaded if 20% of Triangle F is shaded
= ^{14 + 14}_{21 + 56 + 13 + 14 + 14}
= ²⁸₁₁₈
= ¹⁴₅₉

Answer(s): ¹⁴₅₉