Roshel had $480 less than Justin. Justin spent 0.6 of his money and Roshel spent 0.2 of her money. In the end, Justin and Roshel had the same amount of money left. Find the amount of money Roshel had at first.

	Roshel	Justin	Difference
Before	5 u	10 u	5 u
Change	- 2 u	- 4 u
After	4 u	4 u

0.6 = ³₅

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

0.2 = ¹₅

Fraction of Roshel's amount left
= 1 - ¹₅
= ⁴₅

The amount that Justin and Roshel each had in the end is the same. Make the numerators the same. LCM of 2 and 4 is 4.

²₅ of Justin's amount = ⁴₅ of Roshel's amount
⁴₁₀ of Justin's amount = ⁴₅ of Roshel's amount

Amount that Roshel had less than Justin
= 10 u - 5 u
= 5 u

5 u = 480

1 u = 480 ÷ 5 = 96

Amount that Roshel had at first
= 5 u
= 5 x 96
= $480

Answer(s): $480