30% of Pamela's amount was $4324 less than Riordan's amount. When Pamela spent 45% of her amount and Riordan spent 70% of his amount, they had the same amount of amount left. Find the amount that Riordan had at first.

	Pamela	Riordan
Before	60 u	110 u
Change	- 27 u	- 77 u
After	33 u	33 u

Percentage of Pamela's amount left
= 100% - 45%
= 55%

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

55% = ⁵⁵₁₀₀ = ¹¹₂₀
30% = ³⁰₁₀₀ = ³₁₀

The amounts of amount that Pamela and Riordan had left were the same. Make the numerators the same.

¹¹₂₀ of Pamela's amount = ³₁₀ of Riordan's amount
³³₆₀ of Pamela's amount = ³³₁₁₀ of Riordan's amount

Amount that Pamela had = 60 u

30% of the amount that Pamela had
= 30% x 60 u
= ³⁰₁₀₀ x 60 u
= 18 u

Difference between Riordan's amount and 30% of Pamela's amount
= 110 u - 18 u
= 92 u

92 u = 4324

1 u = 4324 ÷ 92 = 47

Amount that Riordan had at first
= 110 u
= 110 x 47
= $5170

Answer(s): $5170