20% of Xandra's amount was $1536 less than Ivan's amount. When Xandra spent 30% of her amount and Ivan spent 70% of his amount, they had the same amount of amount left. Find the amount that Ivan had at first.

	Xandra	Ivan
Before	30 u	70 u
Change	- 9 u	- 49 u
After	21 u	21 u

Percentage of Xandra's amount left
= 100% - 30%
= 70%

Percentage of Ivan's amount left
= 100% - 70%
= 30%

70% = ⁷⁰₁₀₀ = ⁷₁₀
30% = ³⁰₁₀₀ = ³₁₀

The amounts of amount that Xandra and Ivan had left were the same. Make the numerators the same.

⁷₁₀ of Xandra's amount = ³₁₀ of Ivan's amount
²¹₃₀ of Xandra's amount = ²¹₇₀ of Ivan's amount

Amount that Xandra had = 30 u

20% of the amount that Xandra had
= 20% x 30 u
= ²⁰₁₀₀ x 30 u
= 6 u

Difference between Ivan's amount and 20% of Xandra's amount
= 70 u - 6 u
= 64 u

64 u = 1536

1 u = 1536 ÷ 64 = 24

Amount that Ivan had at first
= 70 u
= 70 x 24
= $1680

Answer(s): $1680