The figure, not drawn to scale, is made up of 3 different triangles J, K and L. 25% of triangle J and 30% of triangle L is shaded. The shaded area of J is the same as the shaded area of L. What fraction of the figure is shaded if 20% of Triangle K is shaded?

Unshaded area of J	Shaded area of J	Unshaded area of L	Shaded area of L
3x3	1x3	7x1	3x1
9 u	3 u	7 u	3 u

25% = ²⁵₁₀₀ = ¹₄
30% = ³⁰₁₀₀ = ³₁₀
20% = ²⁰₁₀₀ = ¹₅
The shaded area of J is the same as the shaded area of L.

Make the LCM of the shaded area of J and shaded area of L the same.
LCM of 1 and 3 = 3

¹₅ of K is shaded
= Shaded area of J + Shaded area of L
= 3 u + 3 u
= 6 u

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

¹₅ of K = 6 u
⁴₅ of K = 4 x 6 u = 24 u

Fraction of the figure that is shaded if 20% of Triangle K is shaded
= ^{6 + 6}_{9 + 24 + 7 + 6 + 6}
= ¹²₅₂
= ³₁₃

Answer(s): ³₁₃