80% of Xylia's amount was $576 more than Brandon's amount. When Xylia spent 60% of her amount and Brandon spent 10% of his amount, they had the same amount of amount left. Find the amount that Brandon had at first.

	80% of Xylia's amount	Xylia's amount	Brandon's amount
Before	36 u	45 u	20 u
Change		- 27 u (- 60%)	- 2 u (- 10%)
After		18 u	18 u

Percentage of Xylia's amount left
= 100% - 60%
= 40%

Percentage of Brandon's amount left
= 100% - 10%
= 90%

40% = ⁴⁰₁₀₀ = ²₅
90% = ⁹⁰₁₀₀ = ⁹₁₀

The amounts of amount that Xylia and Brandon had left were the same.
Make the numerators the same.

²₅ of Xylia's amount = ⁹₁₀ of Brandon's amount
¹⁸₄₅ of Xylia's amount = ¹⁸₂₀ of Brandon's amount

Amount that Xylia had = 45 u

80% of the amount that Xylia had
= 45 u x 80%
= 45 u x ⁸⁰₁₀₀
= 36 u

Difference between 80% of Xylia's amount and Brandon's amount
= 36 u - 20 u 
= 16 u

16 u = 576
1 u = 576 ÷ 16 = 36

Amount that Brandon had at first
= 20 u
= 20 x 36
= $720

Answer(s): $720