30% of Penelope's amount was $1450 less than Dylan's amount. When Penelope spent 30% of her amount and Dylan spent 60% of his amount, they had the same amount of amount left. Find the amount that Dylan had at first.

	Penelope	Dylan
Before	20 u	35 u
Change	- 6 u	- 21 u
After	14 u	14 u

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

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

70% = ⁷⁰₁₀₀ = ⁷₁₀
40% = ⁴⁰₁₀₀ = ²₅

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

⁷₁₀ of Penelope's amount = ²₅ of Dylan's amount
¹⁴₂₀ of Penelope's amount = ¹⁴₃₅ of Dylan's amount

Amount that Penelope had = 20 u

30% of the amount that Penelope had
= 30% x 20 u
= ³⁰₁₀₀ x 20 u
= 6 u

Difference between Dylan's amount and 30% of Penelope's amount
= 35 u - 6 u
= 29 u

29 u = 1450

1 u = 1450 ÷ 29 = 50

Amount that Dylan had at first
= 35 u
= 35 x 50
= $1750

Answer(s): $1750