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

Unshaded area of P	Shaded area of P	Unshaded area of R	Shaded area of R
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 P is the same as the shaded area of R.

Make the LCM of the shaded area of P and shaded area of R the same.
LCM of 3 and 7 = 21

¹₄ of Q is shaded
= Shaded area of P + Shaded area of R
= 21 u + 21 u
= 42 u

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

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

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

Answer(s): ²¹₉₂