50% of Jade's amount was $4600 less than Sean's amount. When Jade spent 35% of her amount and Sean spent 70% of his amount, they had the same amount of amount left. Find the amount that Sean had at first.

	Jade	Sean
Before	60 u	130 u
Change	- 21 u	- 91 u
After	39 u	39 u

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

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

65% = ⁶⁵₁₀₀ = ¹³₂₀
30% = ³⁰₁₀₀ = ³₁₀

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

¹³₂₀ of Jade's amount = ³₁₀ of Sean's amount
³⁹₆₀ of Jade's amount = ³⁹₁₃₀ of Sean's amount

Amount that Jade had = 60 u

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

Difference between Sean's amount and 50% of Jade's amount
= 130 u - 30 u
= 100 u

100 u = 4600

1 u = 4600 ÷ 100 = 46

Amount that Sean had at first
= 130 u
= 130 x 46
= $5980

Answer(s): $5980