20% of Jane's amount was $520 less than Elijah's amount. When Jane 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.

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

Percentage of Jane'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 Jane and Elijah had left were the same. Make the numerators the same.

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

Amount that Jane had = 10 u

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

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

13 u = 520

1 u = 520 ÷ 13 = 40

Amount that Elijah had at first
= 15 u
= 15 x 40
= $600

Answer(s): $600