Roshel had $525 less than Cody. Roshel spent ¹₄ of her money and Cody spent ²₃ of his money. In the end, Cody and Roshel had the same amount of money left. Find the amount of money Cody had at first.

	Roshel	Cody	Difference
Before	4x1 = 4 u	3x3 = 9 u	5 u
Change	- 1x1 = - 1 u	- 2x3 = - 6 u
After	3x1 = 3 u	1x3 = 3 u

Fraction of Roshel's money left
= 1 - ¹₄
= ³₄

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

Cody and Roshel had the same amount of money in the end. Make the numerators the same. LCM of 3 and 1 is 3.

³₄ of Roshel's money = ¹₃ of Cody's money
³₄ of Roshel's money = ³₉ of Cody's money

Amount that Roshel had at first = 4 u
Amount that Cody had at first = 9 u

Amount that Roshel had less than Cody had at first
= 9 u - 4 u
= 5 u

5 u = 525

1 u = 525 ÷ 5 = 105

Amount that Cody had at first
= 9 u
= 9 x 105
= $945

Answer(s): $945