30% of Hazel's amount was $3050 less than Ken's amount. When Hazel spent 30% of her amount and Ken spent 70% of his amount, they had the same amount of amount left. Find the amount that Ken had at first.

	Hazel	Ken
Before	30 u	70 u
Change	- 9 u	- 49 u
After	21 u	21 u

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

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

70% = ⁷⁰₁₀₀ = ⁷₁₀
30% = ³⁰₁₀₀ = ³₁₀

The amounts of amount that Hazel and Ken had left were the same. Make the numerators the same.

⁷₁₀ of Hazel's amount = ³₁₀ of Ken's amount
²¹₃₀ of Hazel's amount = ²¹₇₀ of Ken's amount

Amount that Hazel had = 30 u

30% of the amount that Hazel had
= 30% x 30 u
= ³⁰₁₀₀ x 30 u
= 9 u

Difference between Ken's amount and 30% of Hazel's amount
= 70 u - 9 u
= 61 u

61 u = 3050

1 u = 3050 ÷ 61 = 50

Amount that Ken had at first
= 70 u
= 70 x 50
= $3500

Answer(s): $3500