10% of Eric's savings was $8 more than 40% of Cody's savings. After Eric spent ¹₂ of his savings and Cody spent 40% of his savings, Eric had $159 more than Cody. How much was Eric's saving at first?

	Cody	Eric
Before	5 u	20 u + 80
Change	- 2 u	- 10 u - 40
After	3 u	10 u + 40
Comparing Cody and Eric in the end		159 more

10% = ¹⁰₁₀₀ = ¹₁₀

40% = ⁴⁰₁₀₀ = ²₅

¹₁₀ Eric = ²₅ Cody + 8 

Make the numerators the same. LCM of 1 and 2 is 2.
 
1x210x2 Eric = 2x15x1 Cody + 8 
220 Eric = 25 Cody + 8 

Simplify the fractions.
¹₂₀ Eric = ¹₅ Cody + 4

Let ¹₅ Cody be 1 u.

Cody's savings at first = 5 u

¹₂₀ Eric = ¹₅ Cody + 4
Let ¹₂₀ Eric be 1 u + 4.

Eric's savings at first
= 20 x (1 u + 4) 
= 20 u + 80

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

Savings that Eric spent 
= ¹₂ x (20 u + 80)
= 10 u + 40 

Eric had $159 more than Cody in the end. If another $159 was given to Cody, the amount that each had in the end would be the same.

10 u + 40 = 3 u + 159 
10 u - 3 u = 159 - 40
7 u = 119

1 u = 119 ÷ 7 = 17

Savings that Eric had at first
= 20 u + 80
= 20 x 17 + 80
= 340 + 80
= $420

Answer(s): $420