50% of Roshel's amount was $3040 less than Liam's amount. When Roshel spent 45% of her amount and Liam spent 70% of his amount, they had the same amount of amount left. Find the amount that Liam had at first.

	Roshel	Liam
Before	60 u	110 u
Change	- 27 u	- 77 u
After	33 u	33 u

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

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

55% = ⁵⁵₁₀₀ = ¹¹₂₀
30% = ³⁰₁₀₀ = ³₁₀

The amounts of amount that Roshel and Liam had left were the same. Make the numerators the same.

¹¹₂₀ of Roshel's amount = ³₁₀ of Liam's amount
³³₆₀ of Roshel's amount = ³³₁₁₀ of Liam's amount

Amount that Roshel had = 60 u

50% of the amount that Roshel had
= 50% x 60 u
= ⁵⁰₁₀₀ x 60 u
= 30 u

Difference between Liam's amount and 50% of Roshel's amount
= 110 u - 30 u
= 80 u

80 u = 3040

1 u = 3040 ÷ 80 = 38

Amount that Liam had at first
= 110 u
= 110 x 38
= $4180

Answer(s): $4180