Vanessa had $450 less than Jenson. Jenson spent 0.6 of his money and Vanessa spent 0.2 of her money. In the end, Jenson and Vanessa had the same amount of money left. Find the amount of money Vanessa had at first.

	Vanessa	Jenson	Difference
Before	5 u	10 u	5 u
Change	- 2 u	- 4 u
After	4 u	4 u

0.6 = ³₅

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

0.2 = ¹₅

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

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

²₅ of Jenson's amount = ⁴₅ of Vanessa's amount
⁴₁₀ of Jenson's amount = ⁴₅ of Vanessa's amount

Amount that Vanessa had less than Jenson
= 10 u - 5 u
= 5 u

5 u = 450

1 u = 450 ÷ 5 = 90

Amount that Vanessa had at first
= 5 u
= 5 x 90
= $450

Answer(s): $450