Risa and Vaidev collect buttons and erasers. Vaidev has 44 less buttons than erasers. Vaidev has 2 times the number of buttons Risa has, and Risa has 25% more erasers than Vaidev. After Risa gives Vaidev all of her buttons and Vaidev gives Risa 75% of his erasers, Vaidev has 34 more buttons than erasers. Find the number of erasers Risa has at first.

Risa		Vaidev
Erasers	Buttons	Erasers	Buttons
2.5 u + 55	1 u	2 u + 44	2 u
+ 1.5 u + 33	- 1 u	- 1.5 u - 33	+ 1 u
4 u + 88	0	0.5 u + 11	3 u

100%+ 25% = 125% 

125% x 2 u
= ¹²⁵₁₀₀ x 2 u
= 2.5 u

125% x 44
= ¹²⁵₁₀₀ x 44
= 55 

75% x 2 u
= ⁷⁵₁₀₀ x 2 u
= 1.5 u  

75% x 44 
= ⁷⁵₁₀₀ x 44
= 33 

If another 34 erasers are given to Vaidev, he will have equal number of erasers and buttons in the end.
3 u = 0.5 u + 11 + 34
3 u - 0.5 u = 45
2.5 u = 45

1 u = 45 ÷ 2.5 = 18

Number of erasers that Risa has at first
= 2.5 u + 55
= 2.5 x 18 + 55
= 45 + 55
= 100
 
Answer(s): 100