20% of Anna's amount was $713 less than Valen's amount. When Anna spent 30% of her amount and Valen spent 60% of his amount, they had the same amount of amount left. Find the amount that Valen had at first.

	Anna	Valen
Before	20 u	35 u
Change	- 6 u	- 21 u
After	14 u	14 u

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

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

70% = ⁷⁰₁₀₀ = ⁷₁₀
40% = ⁴⁰₁₀₀ = ²₅

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

⁷₁₀ of Anna's amount = ²₅ of Valen's amount
¹⁴₂₀ of Anna's amount = ¹⁴₃₅ of Valen's amount

Amount that Anna had = 20 u

20% of the amount that Anna had
= 20% x 20 u
= ²⁰₁₀₀ x 20 u
= 4 u

Difference between Valen's amount and 20% of Anna's amount
= 35 u - 4 u
= 31 u

31 u = 713

1 u = 713 ÷ 31 = 23

Amount that Valen had at first
= 35 u
= 35 x 23
= $805

Answer(s): $805