There was an equal number of mangosteens and grapefruits. On Monday, some mangosteens were added, such that the number of mangosteens increased by 60%. On Tuesday, the number of mangosteens further increased by 50% and the number of grapefruits decreased by 20%. There were 96 more mangosteens than grapefruits in the end. How many mangosteens and grapefruits were there altogether at first?

	Mangosteens	Grapefruits
Before	1 u	1 u
Change 1	+ 0.6 u	No change
After 1	1.6 u	1 u
Change 2	+ 0.8 u	- 0.2 u
After 2	2.4 u	0.8 u

Number of mangosteens added on Monday
= 60% x 1 u
= ⁶⁰₁₀₀ x 1 u
= 0.6 u

Number of mangosteens increased on Tuesday
= 50% x 1.6 u
= ⁵⁰₁₀₀ x 1.6 u
= 0.8 u

Number of grapefruits decreased on Tuesday
= 20% x 1 u
= ²⁰₁₀₀ x 1 u
= 0.2 u

Number of more mangosteens than grapefruits in the end
= 2.4 u - 0.8 u
= 1.6 u

1.6 u = 96

1 u = 96 ÷ 1.6 = 60

Total number of mangosteens and grapefruits at first
= 1 u + 1 u
= 2 u
= 2 x 60
= 120

Answer(s): 120