20% of Raeann's amount was $1128 less than Tim's amount. When Raeann spent 45% of her amount and Tim spent 60% of his amount, they had the same amount of amount left. Find the amount that Tim had at first.

	Raeann	Tim
Before	40 u	55 u
Change	- 18 u	- 33 u
After	22 u	22 u

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

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

55% = ⁵⁵₁₀₀ = ¹¹₂₀
40% = ⁴⁰₁₀₀ = ²₅

The amounts of amount that Raeann and Tim had left were the same. Make the numerators the same.

¹¹₂₀ of Raeann's amount = ²₅ of Tim's amount
²²₄₀ of Raeann's amount = ²²₅₅ of Tim's amount

Amount that Raeann had = 40 u

20% of the amount that Raeann had
= 20% x 40 u
= ²⁰₁₀₀ x 40 u
= 8 u

Difference between Tim's amount and 20% of Raeann's amount
= 55 u - 8 u
= 47 u

47 u = 1128

1 u = 1128 ÷ 47 = 24

Amount that Tim had at first
= 55 u
= 55 x 24
= $1320

Answer(s): $1320