10% of Wesley's savings was $20 more than 40% of Flynn's savings. After Wesley spent ³₅ of his savings and Flynn spent 40% of his savings, Wesley had $140 more than Flynn. How much was Wesley's saving at first?

	Flynn	Wesley
Before	5 u	20 u + 200
Change	- 2 u	- 12 u - 120
After	3 u	8 u + 80
Comparing Flynn and Wesley in the end		140 more

10% = ¹⁰₁₀₀ = ¹₁₀

40% = ⁴⁰₁₀₀ = ²₅

¹₁₀ Wesley = ²₅ Flynn + 20 

Make the numerators the same. LCM of 1 and 2 is 2.
 
1x210x2 Wesley = 2x15x1 Flynn + 20 
220 Wesley = 25 Flynn + 20 

Simplify the fractions.
¹₂₀ Wesley = ¹₅ Flynn + 10

Let ¹₅ Flynn be 1 u.

Flynn's savings at first = 5 u

¹₂₀ Wesley = ¹₅ Flynn + 10
Let ¹₂₀ Wesley be 1 u + 10.

Wesley's savings at first
= 20 x (1 u + 10) 
= 20 u + 200

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

Savings that Wesley spent 
= ³₅ x (20 u + 200)
= 12 u + 120 

Wesley had $140 more than Flynn in the end. If another $140 was given to Flynn, the amount that each had in the end would be the same.

8 u + 80 = 3 u + 140 
8 u - 3 u = 140 - 80
5 u = 60

1 u = 60 ÷ 5 = 12

Savings that Wesley had at first
= 20 u + 200
= 20 x 12 + 200
= 240 + 200
= $440

Answer(s): $440