50% of Roshel's amount was $1155 less than Perry's amount. When Roshel spent 45% of her amount and Perry spent 60% of his amount, they had the same amount of amount left. Find the amount that Perry had at first.

	Roshel	Perry
Before	40 u	55 u
Change	- 18 u	- 33 u
After	22 u	22 u

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

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

55% = ⁵⁵₁₀₀ = ¹¹₂₀
40% = ⁴⁰₁₀₀ = ²₅

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

¹¹₂₀ of Roshel's amount = ²₅ of Perry's amount
²²₄₀ of Roshel's amount = ²²₅₅ of Perry's amount

Amount that Roshel had = 40 u

50% of the amount that Roshel had
= 50% x 40 u
= ⁵⁰₁₀₀ x 40 u
= 20 u

Difference between Perry's amount and 50% of Roshel's amount
= 55 u - 20 u
= 35 u

35 u = 1155

1 u = 1155 ÷ 35 = 33

Amount that Perry had at first
= 55 u
= 55 x 33
= $1815

Answer(s): $1815