Tammy had $395 less than Seth. Tammy spent ¹₅ of her money and Seth spent ³₅ of his money. In the end, Seth and Tammy had the same amount of money left. Find the amount of money Seth had at first.

	Tammy	Seth	Difference
Before	5x1 = 5 u	5x2 = 10 u	5 u
Change	- 1x1 = - 1 u	- 3x2 = - 6 u
After	4x1 = 4 u	2x2 = 4 u

Fraction of Tammy's money left
= 1 - ¹₅
= ⁴₅

Fraction of Seth's money left
= 1 - ³₅
= ²₅

Seth and Tammy had the same amount of money in the end. Make the numerators the same. LCM of 4 and 2 is 4.

⁴₅ of Tammy's money = ²₅ of Seth's money
⁴₅ of Tammy's money = ⁴₁₀ of Seth's money

Amount that Tammy had at first = 5 u
Amount that Seth had at first = 10 u

Amount that Tammy had less than Seth had at first
= 10 u - 5 u
= 5 u

5 u = 395

1 u = 395 ÷ 5 = 79

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

Answer(s): $790