50% of Cindy's amount was $1600 less than Vincent's amount. When Cindy spent 45% of her amount and Vincent spent 70% of his amount, they had the same amount of amount left. Find the amount that Vincent had at first.

	Cindy	Vincent
Before	60 u	110 u
Change	- 27 u	- 77 u
After	33 u	33 u

Percentage of Cindy's amount left
= 100% - 45%
= 55%

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

55% = ⁵⁵₁₀₀ = ¹¹₂₀
30% = ³⁰₁₀₀ = ³₁₀

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

¹¹₂₀ of Cindy's amount = ³₁₀ of Vincent's amount
³³₆₀ of Cindy's amount = ³³₁₁₀ of Vincent's amount

Amount that Cindy had = 60 u

50% of the amount that Cindy had
= 50% x 60 u
= ⁵⁰₁₀₀ x 60 u
= 30 u

Difference between Vincent's amount and 50% of Cindy's amount
= 110 u - 30 u
= 80 u

80 u = 1600

1 u = 1600 ÷ 80 = 20

Amount that Vincent had at first
= 110 u
= 110 x 20
= $2200

Answer(s): $2200