20% of Asher's savings was $21 more than 30% of Wesley's savings. After Asher spent ¹₃ of his savings and Wesley spent 40% of his savings, Wesley had $134 less than Asher. How much was Wesley's saving at first?

	Wesley	Asher
Before	10 u	15 u + 105
Change	- 4 u	- 5 u - 35
After	6 u	10 u + 70
Comparing Wesley and Asher in the end		134 more

20% = ²⁰₁₀₀ = ¹₅

30% = ³⁰₁₀₀ = ³₁₀

¹₅ Asher = ³₁₀ Wesley + 21 

Make the numerators the same. LCM of 1 and 3 is 3.
 
1x35x3 Asher = 3x110x1 Wesley + 21 
315 Asher = 310 Wesley + 21 

Simplify the fractions.
¹₁₅ Asher = ¹₁₀ Wesley + 7

Let ¹₁₀ Wesley be 1 u.

Wesley's savings at first = 10 u

¹₁₅ Asher = ¹₁₀ Wesley + 7
Let ¹₁₅ Asher be 1 u + 7.

Asher's savings at first
= 15 x (1 u + 7) 
= 15 u + 105

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

Savings that Asher spent 
= ¹₃ x (15 u + 105)
= 5 u + 35 

Wesley had $134 less than Asher in the end. If another $134 was given to Wesley, the amount that each had in the end would be the same.

10 u + 70 = 6 u + 134 
10 u - 6 u = 134 - 70
4 u = 64

1 u = 64 ÷ 4 = 16

Savings that Wesley had at first
= 10 u 
= 10 x 16
= $160

Answer(s): $160