Hazel had $395 less than Gabriel. Gabriel spent 0.6 of his money and Hazel spent 0.4 of her money. In the end, Gabriel and Hazel had the same amount of money left. Find the amount of money Hazel had at first.

	Hazel	Gabriel	Difference
Before	10 u	15 u	5 u
Change	- 2 u	- 3 u
After	6 u	6 u

0.6 = ³₅

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

0.4 = ²₅

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

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

²₅ of Gabriel's amount = ³₅ of Hazel's amount
⁶₁₅ of Gabriel's amount = ⁶₁₀ of Hazel's amount

Amount that Hazel had less than Gabriel
= 15 u - 10 u
= 5 u

5 u = 395

1 u = 395 ÷ 5 = 79

Amount that Hazel had at first
= 10 u
= 10 x 79
= $790

Answer(s): $790