25% of Julian's savings was $18 more than 40% of Peter's savings. After Julian spent ³₈ of his savings and Peter spent 40% of his savings, Julian had $61 more than Peter. How much was Julian's saving at first?

	Peter	Julian
Before	5 u	8 u + 72
Change	- 2 u	- 3 u - 27
After	3 u	5 u + 45
Comparing Peter and Julian in the end		61 more

25% = ²⁵₁₀₀ = ¹₄

40% = ⁴⁰₁₀₀ = ²₅

¹₄ Julian = ²₅ Peter + 18 

Make the numerators the same. LCM of 1 and 2 is 2.
 
1x24x2 Julian = 2x15x1 Peter + 18 
28 Julian = 25 Peter + 18 

Simplify the fractions.
¹₈ Julian = ¹₅ Peter + 9

Let ¹₅ Peter be 1 u.

Peter's savings at first = 5 u

¹₈ Julian = ¹₅ Peter + 9
Let ¹₈ Julian be 1 u + 9.

Julian's savings at first
= 8 x (1 u + 9) 
= 8 u + 72

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

Savings that Julian spent 
= ³₈ x (8 u + 72)
= 3 u + 27 

Julian had $61 more than Peter in the end. If another $61 was given to Peter, the amount that each had in the end would be the same.

5 u + 45 = 3 u + 61 
5 u - 3 u = 61 - 45
2 u = 16

1 u = 16 ÷ 2 = 8

Savings that Julian had at first
= 8 u + 72
= 8 x 8 + 72
= 64 + 72
= $136

Answer(s): $136