30% of Betty's amount was $2544 less than Ethan's amount. When Betty spent 35% of her amount and Ethan spent 60% of his amount, they had the same amount of amount left. Find the amount that Ethan had at first.

	Betty	Ethan
Before	40 u	65 u
Change	- 14 u	- 39 u
After	26 u	26 u

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

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

65% = ⁶⁵₁₀₀ = ¹³₂₀
40% = ⁴⁰₁₀₀ = ²₅

The amounts of amount that Betty and Ethan had left were the same. Make the numerators the same.

¹³₂₀ of Betty's amount = ²₅ of Ethan's amount
²⁶₄₀ of Betty's amount = ²⁶₆₅ of Ethan's amount

Amount that Betty had = 40 u

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

Difference between Ethan's amount and 30% of Betty's amount
= 65 u - 12 u
= 53 u

53 u = 2544

1 u = 2544 ÷ 53 = 48

Amount that Ethan had at first
= 65 u
= 65 x 48
= $3120

Answer(s): $3120