There was an equal number of dragonfruits and mangosteens. On Wednesday, some dragonfruits were added, such that the number of dragonfruits increased by 80%. On Thursday, the number of dragonfruits further increased by 50% and the number of mangosteens decreased by 20%. There were 38 more dragonfruits than mangosteens in the end. How many dragonfruits and mangosteens were there altogether at first?

	Dragonfruits	Mangosteens
Before	1 u	1 u
Change 1	+ 0.8 u	No change
After 1	1.8 u	1 u
Change 2	+ 0.9 u	- 0.2 u
After 2	2.7 u	0.8 u

Number of dragonfruits added on Wednesday
= 80% x 1 u
= ⁸⁰₁₀₀ x 1 u
= 0.8 u

Number of dragonfruits increased on Thursday
= 50% x 1.8 u
= ⁵⁰₁₀₀ x 1.8 u
= 0.9 u

Number of mangosteens decreased on Thursday
= 20% x 1 u
= ²⁰₁₀₀ x 1 u
= 0.2 u

Number of more dragonfruits than mangosteens in the end
= 2.7 u - 0.8 u
= 1.9 u

1.9 u = 38

1 u = 38 ÷ 1.9 = 20

Total number of dragonfruits and mangosteens at first
= 1 u + 1 u
= 2 u
= 2 x 20
= 40

Answer(s): 40