20% of Penelope's amount was $3072 less than Julian's amount. When Penelope spent 30% of her amount and Julian spent 70% of his amount, they had the same amount of amount left. Find the amount that Julian had at first.

	Penelope	Julian
Before	30 u	70 u
Change	- 9 u	- 49 u
After	21 u	21 u

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

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

70% = ⁷⁰₁₀₀ = ⁷₁₀
30% = ³⁰₁₀₀ = ³₁₀

The amounts of amount that Penelope and Julian had left were the same. Make the numerators the same.

⁷₁₀ of Penelope's amount = ³₁₀ of Julian's amount
²¹₃₀ of Penelope's amount = ²¹₇₀ of Julian's amount

Amount that Penelope had = 30 u

20% of the amount that Penelope had
= 20% x 30 u
= ²⁰₁₀₀ x 30 u
= 6 u

Difference between Julian's amount and 20% of Penelope's amount
= 70 u - 6 u
= 64 u

64 u = 3072

1 u = 3072 ÷ 64 = 48

Amount that Julian had at first
= 70 u
= 70 x 48
= $3360

Answer(s): $3360