25% of Seth's savings was $20 more than 40% of Neave's savings. After Seth spent ¹₈ of his savings and Neave spent 40% of his savings, Neave had $98 less than Seth. How much was Neave's saving at first?

	Neave	Seth
Before	5 u	8 u + 80
Change	- 2 u	- 1 u - 10
After	3 u	7 u + 70
Comparing Neave and Seth in the end		98 more

25% = ²⁵₁₀₀ = ¹₄

40% = ⁴⁰₁₀₀ = ²₅

¹₄ Seth = ²₅ Neave + 20 

Make the numerators the same. LCM of 1 and 2 is 2.
 
1x24x2 Seth = 2x15x1 Neave + 20 
28 Seth = 25 Neave + 20 

Simplify the fractions.
¹₈ Seth = ¹₅ Neave + 10

Let ¹₅ Neave be 1 u.

Neave's savings at first = 5 u

¹₈ Seth = ¹₅ Neave + 10
Let ¹₈ Seth be 1 u + 10.

Seth's savings at first
= 8 x (1 u + 10) 
= 8 u + 80

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

Savings that Seth spent 
= ¹₈ x (8 u + 80)
= 1 u + 10 

Neave had $98 less than Seth in the end. If another $98 was given to Neave, the amount that each had in the end would be the same.

7 u + 70 = 3 u + 98 
7 u - 3 u = 98 - 70
4 u = 28

1 u = 28 ÷ 4 = 7

Savings that Neave had at first
= 5 u 
= 5 x 7
= $35

Answer(s): $35