Victoria had $400 less than Jenson. Jenson spent 0.7 of his money and Victoria spent 0.3 of her money. In the end, Jenson and Victoria had the same amount of money left. Find the amount of money Victoria had at first.

	Victoria	Jenson	Difference
Before	30 u	70 u	40 u
Change	- 3 u	- 7 u
After	21 u	21 u

0.7 = ⁷₁₀

Fraction of Jenson's amount left
= 1 - ⁷₁₀
= ³₁₀

0.3 = ³₁₀

Fraction of Victoria's amount left
= 1 - ³₁₀
= ⁷₁₀

The amount that Jenson and Victoria each had in the end is the same. Make the numerators the same. LCM of 3 and 7 is 21.

³₁₀ of Jenson's amount = ⁷₁₀ of Victoria's amount
²¹₇₀ of Jenson's amount = ²¹₃₀ of Victoria's amount

Amount that Victoria had less than Jenson
= 70 u - 30 u
= 40 u

40 u = 400

1 u = 400 ÷ 40 = 10

Amount that Victoria had at first
= 30 u
= 30 x 10
= $300

Answer(s): $300