Raeann had $288 less than Andy. Raeann spent ¹₆ of her money and Andy spent ²₃ of his money. In the end, Andy and Raeann had the same amount of money left. Find the amount of money Andy had at first.

	Raeann	Andy	Difference
Before	6x1 = 6 u	3x5 = 15 u	9 u
Change	- 1x1 = - 1 u	- 2x5 = - 10 u
After	5x1 = 5 u	1x5 = 5 u

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

Fraction of Andy's money left
= 1 - ²₃
= ¹₃

Andy and Raeann had the same amount of money in the end. Make the numerators the same. LCM of 5 and 1 is 5.

⁵₆ of Raeann's money = ¹₃ of Andy's money
⁵₆ of Raeann's money = ⁵₁₅ of Andy's money

Amount that Raeann had at first = 6 u
Amount that Andy had at first = 15 u

Amount that Raeann had less than Andy had at first
= 15 u - 6 u
= 9 u

9 u = 288

1 u = 288 ÷ 9 = 32

Amount that Andy had at first
= 15 u
= 15 x 32
= $480

Answer(s): $480