70% of Cathy's amount was $364 more than Vincent's amount. When Cathy spent 65% of her amount and Vincent spent 25% of his amount, they had the same amount of amount left. Find the amount that Vincent had at first.

	70% of Cathy's amount	Cathy's amount	Vincent's amount
Before	42 u	60 u	28 u
Change		- 39 u (- 65%)	- 7 u (- 25%)
After		21 u	21 u

Percentage of Cathy's amount left
= 100% - 65%
= 35%

Percentage of Vincent's amount left
= 100% - 25%
= 75%

35% = ³⁵₁₀₀ = ⁷₂₀
75% = ⁷⁵₁₀₀ = ³₄

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

⁷₂₀ of Cathy's amount = ³₄ of Vincent's amount
²¹₆₀ of Cathy's amount = ²¹₂₈ of Vincent's amount

Amount that Cathy had = 60 u

70% of the amount that Cathy had
= 60 u x 70%
= 60 u x ⁷⁰₁₀₀
= 42 u

Difference between 70% of Cathy's amount and Vincent's amount
= 42 u - 28 u 
= 14 u

14 u = 364
1 u = 364 ÷ 14 = 26

Amount that Vincent had at first
= 28 u
= 28 x 26
= $728

Answer(s): $728