10% of Bryan's savings was $57 more than 30% of Henry's savings. After Bryan spent ¹₃ of his savings and Henry spent 40% of his savings, Henry had $576 less than Bryan. How much was Henry's saving at first?

	Henry	Bryan
Before	10 u	30 u + 570
Change	- 4 u	- 10 u - 190
After	6 u	20 u + 380
Comparing Henry and Bryan in the end		576 more

10% = ¹⁰₁₀₀ = ¹₁₀

30% = ³⁰₁₀₀ = ³₁₀

¹₁₀ Bryan = ³₁₀ Henry + 57 

Make the numerators the same. LCM of 1 and 3 is 3.
 
1x310x3 Bryan = 3x110x1 Henry + 57 
330 Bryan = 310 Henry + 57 

Simplify the fractions.
¹₃₀ Bryan = ¹₁₀ Henry + 19

Let ¹₁₀ Henry be 1 u.

Henry's savings at first = 10 u

¹₃₀ Bryan = ¹₁₀ Henry + 19
Let ¹₃₀ Bryan be 1 u + 19.

Bryan's savings at first
= 30 x (1 u + 19) 
= 30 u + 570

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

Savings that Bryan spent 
= ¹₃ x (30 u + 570)
= 10 u + 190 

Henry had $576 less than Bryan in the end. If another $576 was given to Henry, the amount that each had in the end would be the same.

20 u + 380 = 6 u + 576 
20 u - 6 u = 576 - 380
14 u = 196

1 u = 196 ÷ 14 = 14

Savings that Henry had at first
= 10 u 
= 10 x 14
= $140

Answer(s): $140