20% of Jade's amount was $527 less than Vincent's amount. When Jade spent 30% of her amount and Vincent spent 60% of his amount, they had the same amount of amount left. Find the amount that Vincent had at first.

	Jade	Vincent
Before	20 u	35 u
Change	- 6 u	- 21 u
After	14 u	14 u

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

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

70% = ⁷⁰₁₀₀ = ⁷₁₀
40% = ⁴⁰₁₀₀ = ²₅

The amounts of amount that Jade and Vincent had left were the same. Make the numerators the same.

⁷₁₀ of Jade's amount = ²₅ of Vincent's amount
¹⁴₂₀ of Jade's amount = ¹⁴₃₅ of Vincent's amount

Amount that Jade had = 20 u

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

Difference between Vincent's amount and 20% of Jade's amount
= 35 u - 4 u
= 31 u

31 u = 527

1 u = 527 ÷ 31 = 17

Amount that Vincent had at first
= 35 u
= 35 x 17
= $595

Answer(s): $595