30% of Justin's savings was $48 more than 40% of Julian's savings. After Justin spent ¹₄ of his savings and Julian spent 40% of his savings, Julian had $132 less than Justin. How much was Julian's saving at first?

	Julian	Justin
Before	15 u	20 u + 160
Change	- 6 u	- 5 u - 40
After	9 u	15 u + 120
Comparing Julian and Justin in the end		132 more

30% = ³⁰₁₀₀ = ³₁₀

40% = ⁴⁰₁₀₀ = ²₅

³₁₀ Justin = ²₅ Julian + 48 

Make the numerators the same. LCM of 3 and 2 is 6.
 
3x210x2 Justin = 2x35x3 Julian + 48 
620 Justin = 615 Julian + 48 

Simplify the fractions.
¹₂₀ Justin = ¹₁₅ Julian + 8

Let ¹₁₅ Julian be 1 u.

Julian's savings at first = 15 u

¹₂₀ Justin = ¹₁₅ Julian + 8
Let ¹₂₀ Justin be 1 u + 8.

Justin's savings at first
= 20 x (1 u + 8) 
= 20 u + 160

Savings that Julian spent
= 40% x 15 u
= ⁴⁰₁₀₀ x 15 u
= 6 u

Savings that Justin spent 
= ¹₄ x (20 u + 160)
= 5 u + 40 

Julian had $132 less than Justin in the end. If another $132 was given to Julian, the amount that each had in the end would be the same.

15 u + 120 = 9 u + 132 
15 u - 9 u = 132 - 120
6 u = 12

1 u = 12 ÷ 6 = 2

Savings that Julian had at first
= 15 u 
= 15 x 2
= $30

Answer(s): $30