There was an equal number of mangoes and persimmons. On Thursday, some mangoes were added, such that the number of mangoes increased by 60%. On Friday, the number of mangoes further increased by 50% and the number of persimmons decreased by 10%. There were 75 more mangoes than persimmons in the end. How many mangoes and persimmons were there altogether at first?

	Mangoes	Persimmons
Before	1 u	1 u
Change 1	+ 0.6 u	No change
After 1	1.6 u	1 u
Change 2	+ 0.8 u	- 0.1 u
After 2	2.4 u	0.9 u

Number of mangoes added on Thursday
= 60% x 1 u
= ⁶⁰₁₀₀ x 1 u
= 0.6 u

Number of mangoes increased on Friday
= 50% x 1.6 u
= ⁵⁰₁₀₀ x 1.6 u
= 0.8 u

Number of persimmons decreased on Friday
= 10% x 1 u
= ¹⁰₁₀₀ x 1 u
= 0.1 u

Number of more mangoes than persimmons in the end
= 2.4 u - 0.9 u
= 1.5 u

1.5 u = 75

1 u = 75 ÷ 1.5 = 50

Total number of mangoes and persimmons at first
= 1 u + 1 u
= 2 u
= 2 x 50
= 100

Answer(s): 100