Vanessa had $380 less than Japheth. Japheth spent 0.8 of his money and Vanessa spent 0.4 of her money. In the end, Japheth and Vanessa had the same amount of money left. Find the amount of money Vanessa had at first.

	Vanessa	Japheth	Difference
Before	5 u	15 u	10 u
Change	- 1 u	- 3 u
After	3 u	3 u

0.8 = ⁴₅

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

0.4 = ²₅

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

The amount that Japheth and Vanessa each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.

¹₅ of Japheth's amount = ³₅ of Vanessa's amount
³₁₅ of Japheth's amount = ³₅ of Vanessa's amount

Amount that Vanessa had less than Japheth
= 15 u - 5 u
= 10 u

10 u = 380

1 u = 380 ÷ 10 = 38

Amount that Vanessa had at first
= 5 u
= 5 x 38
= $190

Answer(s): $190