There are 25% more red cards than black cards in a bag. After Asher removed 40% of the red cards and increased the number of black cards by 30%, there are now 44 fewer red cards than black cards. Find the number of black cards at first.

	Red	Black
Before	5 u	4 u
Change	- 2 u	+ 1.2 u
After	3 u	5.2 u

Number of red cards in percentage
= 100% + 25%
= 125%

125% = ¹²⁵₁₀₀ = ⁵₄

Number of red cards that Asher removed
= 40% x 5 u
= ⁴⁰₁₀₀ x 5 u 
= 2 u

Number of black cards that Asher increased 
= 30% x 4 u
= ³⁰₁₀₀  x 4 u
= 1.2 u

Number of red cards in the end
= 5 u - 2 u
= 3 u

Number of black cards in the end
= 4 u + 1.2 u
= 5.2 u

Number of fewer red cards than black cards in the end
= 5.2 u - 3 u 
= 2.2 u 

2.2 u = 44

1 u = 44 ÷ 2.2 = 20

Number of black cards at first
= 4 u
= 4 x 20
= 80

Answer(s): 80