20% of Owen's savings was $27 more than 30% of David's savings. After Owen spent ²₅ of his savings and David spent 40% of his savings, David had $141 less than Owen. How much was David's saving at first?

	David	Owen
Before	10 u	15 u + 135
Change	- 4 u	- 6 u - 54
After	6 u	9 u + 81
Comparing David and Owen in the end		141 more

20% = ²⁰₁₀₀ = ¹₅

30% = ³⁰₁₀₀ = ³₁₀

¹₅ Owen = ³₁₀ David + 27 

Make the numerators the same. LCM of 1 and 3 is 3.
 
1x35x3 Owen = 3x110x1 David + 27 
315 Owen = 310 David + 27 

Simplify the fractions.
¹₁₅ Owen = ¹₁₀ David + 9

Let ¹₁₀ David be 1 u.

David's savings at first = 10 u

¹₁₅ Owen = ¹₁₀ David + 9
Let ¹₁₅ Owen be 1 u + 9.

Owen's savings at first
= 15 x (1 u + 9) 
= 15 u + 135

Savings that David spent
= 40% x 10 u
= ⁴⁰₁₀₀ x 10 u
= 4 u

Savings that Owen spent 
= ²₅ x (15 u + 135)
= 6 u + 54 

David had $141 less than Owen in the end. If another $141 was given to David, the amount that each had in the end would be the same.

9 u + 81 = 6 u + 141 
9 u - 6 u = 141 - 81
3 u = 60

1 u = 60 ÷ 3 = 20

Savings that David had at first
= 10 u 
= 10 x 20
= $200

Answer(s): $200