25% of Julian's savings was $28 more than 40% of Charlie's savings. After Julian spent ³₈ of his savings and Charlie spent 40% of his savings, Julian had $90 more than Charlie. How much was Julian's saving at first?

	Charlie	Julian
Before	5 u	8 u + 112
Change	- 2 u	- 3 u - 42
After	3 u	5 u + 70
Comparing Charlie and Julian in the end		90 more

25% = ²⁵₁₀₀ = ¹₄

40% = ⁴⁰₁₀₀ = ²₅

¹₄ Julian = ²₅ Charlie + 28 

Make the numerators the same. LCM of 1 and 2 is 2.
 
1x24x2 Julian = 2x15x1 Charlie + 28 
28 Julian = 25 Charlie + 28 

Simplify the fractions.
¹₈ Julian = ¹₅ Charlie + 14

Let ¹₅ Charlie be 1 u.

Charlie's savings at first = 5 u

¹₈ Julian = ¹₅ Charlie + 14
Let ¹₈ Julian be 1 u + 14.

Julian's savings at first
= 8 x (1 u + 14) 
= 8 u + 112

Savings that Charlie spent
= 40% x 5 u
= ⁴⁰₁₀₀ x 5 u
= 2 u

Savings that Julian spent 
= ³₈ x (8 u + 112)
= 3 u + 42 

Julian had $90 more than Charlie in the end. If another $90 was given to Charlie, the amount that each had in the end would be the same.

5 u + 70 = 3 u + 90 
5 u - 3 u = 90 - 70
2 u = 20

1 u = 20 ÷ 2 = 10

Savings that Julian had at first
= 8 u + 112
= 8 x 10 + 112
= 80 + 112
= $192

Answer(s): $192