Jean and Ryan collect pens and erasers. Ryan has 48 less pens than erasers. Ryan has 2 times the number of pens Jean has, and Jean has 25% more erasers than Ryan. After Jean gives Ryan all of her pens and Ryan gives Jean 75% of his erasers, Ryan has 23 less erasers than pens. Find the number of erasers Jean has at first.

Jean		Ryan
Erasers	Pens	Erasers	Pens
2.5 u + 60	1 u	2 u + 48	2 u
+ 1.5 u + 36	- 1 u	- 1.5 u - 36	+ 1 u
4 u + 96	0	0.5 u + 12	3 u

100%+ 25% = 125% 

125% x 2 u
= ¹²⁵₁₀₀ x 2 u
= 2.5 u

125% x 48
= ¹²⁵₁₀₀ x 48
= 60 

75% x 2 u
= ⁷⁵₁₀₀ x 2 u
= 1.5 u  

75% x 48 
= ⁷⁵₁₀₀ x 48
= 36 

If another 23 erasers are given to Ryan, he will have equal number of erasers and pens in the end.
3 u = 0.5 u + 12 + 23
3 u - 0.5 u = 35
2.5 u = 35

1 u = 35 ÷ 2.5 = 14

Number of erasers that Jean has at first
= 2.5 u + 60
= 2.5 x 14 + 60
= 35 + 60
= 95
 
Answer(s): 95