Nicole had $125 less than Lee. Nicole spent ¹₄ of her money and Lee spent ²₃ of his money. In the end, Lee and Nicole had the same amount of money left. Find the amount of money Lee had at first.

	Nicole	Lee	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 Nicole's money left
= 1 - ¹₄
= ³₄

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

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

³₄ of Nicole's money = ¹₃ of Lee's money
³₄ of Nicole's money = ³₉ of Lee's money

Amount that Nicole had at first = 4 u
Amount that Lee had at first = 9 u

Amount that Nicole had less than Lee had at first
= 9 u - 4 u
= 5 u

5 u = 125

1 u = 125 ÷ 5 = 25

Amount that Lee had at first
= 9 u
= 9 x 25
= $225

Answer(s): $225