Victoria had $405 less than Eric. Eric spent 0.6 of his money and Victoria spent 0.4 of her money. In the end, Eric and Victoria had the same amount of money left. Find the amount of money Victoria had at first.

	Victoria	Eric	Difference
Before	10 u	15 u	5 u
Change	- 2 u	- 3 u
After	6 u	6 u

0.6 = ³₅

Fraction of Eric's amount left
= 1 - ³₅
= ²₅

0.4 = ²₅

Fraction of Victoria's amount left
= 1 - ²₅
= ³₅

The amount that Eric and Victoria each had in the end is the same. Make the numerators the same. LCM of 2 and 3 is 6.

²₅ of Eric's amount = ³₅ of Victoria's amount
⁶₁₅ of Eric's amount = ⁶₁₀ of Victoria's amount

Amount that Victoria had less than Eric
= 15 u - 10 u
= 5 u

5 u = 405

1 u = 405 ÷ 5 = 81

Amount that Victoria had at first
= 10 u
= 10 x 81
= $810

Answer(s): $810