40% of Pamela's amount was $1326 less than Japheth's amount. When Pamela spent 45% of her amount and Japheth spent 60% of his amount, they had the same amount of amount left. Find the amount that Japheth had at first.

	Pamela	Japheth
Before	40 u	55 u
Change	- 18 u	- 33 u
After	22 u	22 u

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

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

55% = ⁵⁵₁₀₀ = ¹¹₂₀
40% = ⁴⁰₁₀₀ = ²₅

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

¹¹₂₀ of Pamela's amount = ²₅ of Japheth's amount
²²₄₀ of Pamela's amount = ²²₅₅ of Japheth's amount

Amount that Pamela had = 40 u

40% of the amount that Pamela had
= 40% x 40 u
= ⁴⁰₁₀₀ x 40 u
= 16 u

Difference between Japheth's amount and 40% of Pamela's amount
= 55 u - 16 u
= 39 u

39 u = 1326

1 u = 1326 ÷ 39 = 34

Amount that Japheth had at first
= 55 u
= 55 x 34
= $1870

Answer(s): $1870