20% of Barbara's amount was $455 less than Elijah's amount. When Barbara spent 40% of her amount and Elijah spent 60% of his amount, they had the same amount of amount left. Find the amount that Elijah had at first.

	Barbara	Elijah
Before	10 u	15 u
Change	- 4 u	- 9 u
After	6 u	6 u

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

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

60% = ⁶⁰₁₀₀ = ³₅
40% = ⁴⁰₁₀₀ = ²₅

The amounts of amount that Barbara and Elijah had left were the same. Make the numerators the same.

³₅ of Barbara's amount = ²₅ of Elijah's amount
⁶₁₀ of Barbara's amount = ⁶₁₅ of Elijah's amount

Amount that Barbara had = 10 u

20% of the amount that Barbara had
= 20% x 10 u
= ²⁰₁₀₀ x 10 u
= 2 u

Difference between Elijah's amount and 20% of Barbara's amount
= 15 u - 2 u
= 13 u

13 u = 455

1 u = 455 ÷ 13 = 35

Amount that Elijah had at first
= 15 u
= 15 x 35
= $525

Answer(s): $525