Tiffany had $286 less than Asher. Tiffany spent ¹₆ of her money and Asher spent ³₅ of his money. In the end, Asher and Tiffany had the same amount of money left. Find the amount of money Asher had at first.

	Tiffany	Asher	Difference
Before	6x2 = 12 u	5x5 = 25 u	13 u
Change	- 1x2 = - 2 u	- 3x5 = - 15 u
After	5x2 = 10 u	2x5 = 10 u

Fraction of Tiffany's money left
= 1 - ¹₆
= ⁵₆

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

Asher and Tiffany had the same amount of money in the end. Make the numerators the same. LCM of 5 and 2 is 10.

⁵₆ of Tiffany's money = ²₅ of Asher's money
¹⁰₁₂ of Tiffany's money = ¹⁰₂₅ of Asher's money

Amount that Tiffany had at first = 12 u
Amount that Asher had at first = 25 u

Amount that Tiffany had less than Asher had at first
= 25 u - 12 u
= 13 u

13 u = 286

1 u = 286 ÷ 13 = 22

Amount that Asher had at first
= 25 u
= 25 x 22
= $550

Answer(s): $550