Anna had $1026 less than Lee. Anna spent ¹₅ of her money and Lee spent ⁵₇ of his money. In the end, Lee and Anna had the same amount of money left. Find the amount of money Lee had at first.

	Anna	Lee	Difference
Before	5x1 = 5 u	7x2 = 14 u	9 u
Change	- 1x1 = - 1 u	- 5x2 = - 10 u
After	4x1 = 4 u	2x2 = 4 u

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

Fraction of Lee's money left
= 1 - ⁵₇
= ²₇

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

⁴₅ of Anna's money = ²₇ of Lee's money
⁴₅ of Anna's money = ⁴₁₄ of Lee's money

Amount that Anna had at first = 5 u
Amount that Lee had at first = 14 u

Amount that Anna had less than Lee had at first
= 14 u - 5 u
= 9 u

9 u = 1026

1 u = 1026 ÷ 9 = 114

Amount that Lee had at first
= 14 u
= 14 x 114
= $1596

Answer(s): $1596