30% of Ivory's amount was $1431 less than Seth's amount. When Ivory spent 35% of her amount and Seth spent 60% of his amount, they had the same amount of amount left. Find the amount that Seth had at first.

	Ivory	Seth
Before	40 u	65 u
Change	- 14 u	- 39 u
After	26 u	26 u

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

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

65% = ⁶⁵₁₀₀ = ¹³₂₀
40% = ⁴⁰₁₀₀ = ²₅

The amounts of amount that Ivory and Seth had left were the same. Make the numerators the same.

¹³₂₀ of Ivory's amount = ²₅ of Seth's amount
²⁶₄₀ of Ivory's amount = ²⁶₆₅ of Seth's amount

Amount that Ivory had = 40 u

30% of the amount that Ivory had
= 30% x 40 u
= ³⁰₁₀₀ x 40 u
= 12 u

Difference between Seth's amount and 30% of Ivory's amount
= 65 u - 12 u
= 53 u

53 u = 1431

1 u = 1431 ÷ 53 = 27

Amount that Seth had at first
= 65 u
= 65 x 27
= $1755

Answer(s): $1755