50% of Jen's amount was $1050 less than Fabian's amount. When Jen spent 45% of her amount and Fabian spent 60% of his amount, they had the same amount of amount left. Find the amount that Fabian had at first.

	Jen	Fabian
Before	40 u	55 u
Change	- 18 u	- 33 u
After	22 u	22 u

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

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

55% = ⁵⁵₁₀₀ = ¹¹₂₀
40% = ⁴⁰₁₀₀ = ²₅

The amounts of amount that Jen and Fabian had left were the same. Make the numerators the same.

¹¹₂₀ of Jen's amount = ²₅ of Fabian's amount
²²₄₀ of Jen's amount = ²²₅₅ of Fabian's amount

Amount that Jen had = 40 u

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

Difference between Fabian's amount and 50% of Jen's amount
= 55 u - 20 u
= 35 u

35 u = 1050

1 u = 1050 ÷ 35 = 30

Amount that Fabian had at first
= 55 u
= 55 x 30
= $1650

Answer(s): $1650