10% of Luis's savings was $6 more than 40% of Lee's savings. After Luis spent ¹₄ of his savings and Lee spent 40% of his savings, Luis had $225 more than Lee. How much was Luis's saving at first?

	Lee	Luis
Before	5 u	20 u + 60
Change	- 2 u	- 5 u - 15
After	3 u	15 u + 45
Comparing Lee and Luis in the end		225 more

10% = ¹⁰₁₀₀ = ¹₁₀

40% = ⁴⁰₁₀₀ = ²₅

¹₁₀ Luis = ²₅ Lee + 6 

Make the numerators the same. LCM of 1 and 2 is 2.
 
1x210x2 Luis = 2x15x1 Lee + 6 
220 Luis = 25 Lee + 6 

Simplify the fractions.
¹₂₀ Luis = ¹₅ Lee + 3

Let ¹₅ Lee be 1 u.

Lee's savings at first = 5 u

¹₂₀ Luis = ¹₅ Lee + 3
Let ¹₂₀ Luis be 1 u + 3.

Luis's savings at first
= 20 x (1 u + 3) 
= 20 u + 60

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

Savings that Luis spent 
= ¹₄ x (20 u + 60)
= 5 u + 15 

Luis had $225 more than Lee in the end. If another $225 was given to Lee, the amount that each had in the end would be the same.

15 u + 45 = 3 u + 225 
15 u - 3 u = 225 - 45
12 u = 180

1 u = 180 ÷ 12 = 15

Savings that Luis had at first
= 20 u + 60
= 20 x 15 + 60
= 300 + 60
= $360

Answer(s): $360