80% of Min's amount was $361 more than Valen's amount. When Min spent 55% of her amount and Valen spent 20% of his amount, they had the same amount of amount left. Find the amount that Valen had at first.

	80% of Min's amount	Min's amount	Valen's amount
Before	64 u	80 u	45 u
Change		- 44 u (- 55%)	- 9 u (- 20%)
After		36 u	36 u

Percentage of Min's amount left
= 100% - 55%
= 45%

Percentage of Valen's amount left
= 100% - 20%
= 80%

45% = ⁴⁵₁₀₀ = ⁹₂₀
80% = ⁸⁰₁₀₀ = ⁴₅

The amounts of amount that Min and Valen had left were the same.
Make the numerators the same.

⁹₂₀ of Min's amount = ⁴₅ of Valen's amount
³⁶₈₀ of Min's amount = ³⁶₄₅ of Valen's amount

Amount that Min had = 80 u

80% of the amount that Min had
= 80 u x 80%
= 80 u x ⁸⁰₁₀₀
= 64 u

Difference between 80% of Min's amount and Valen's amount
= 64 u - 45 u 
= 19 u

19 u = 361
1 u = 361 ÷ 19 = 19

Amount that Valen had at first
= 45 u
= 45 x 19
= $855

Answer(s): $855