The figure, not drawn to scale, is made up of 3 different triangles X, Y and Z. 15% of triangle X and 35% of triangle Z is shaded. The shaded area of X is the same as the shaded area of Z. What fraction of the figure is shaded if 25% of Triangle Y is shaded?

Unshaded area of X	Shaded area of X	Unshaded area of Z	Shaded area of Z
17x7	3x7	13x3	7x3
119 u	21 u	39 u	21 u

15% = ¹⁵₁₀₀ = ³₂₀
35% = ³⁵₁₀₀ = ⁷₂₀
25% = ²⁵₁₀₀ = ¹₄
The shaded area of X is the same as the shaded area of Z.

Make the LCM of the shaded area of X and shaded area of Z the same.
LCM of 3 and 7 = 21

¹₄ of Y is shaded
= Shaded area of X + Shaded area of Z
= 21 u + 21 u
= 42 u

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

¹₄ of Y = 42 u
³₄ of Y = 3 x 42 u = 126 u

Fraction of the figure that is shaded if 25% of Triangle Y is shaded
= ^{42 + 42}_{119 + 126 + 39 + 42 + 42}
= ⁸⁴₃₆₈
= ²¹₉₂

Answer(s): ²¹₉₂