Emma had $1035 less than Andy. Emma spent ¹₅ of her money and Andy spent ⁵₇ of his money. In the end, Andy and Emma had the same amount of money left. Find the amount of money Andy had at first.

	Emma	Andy	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 Emma's money left
= 1 - ¹₅
= ⁴₅

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

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

⁴₅ of Emma's money = ²₇ of Andy's money
⁴₅ of Emma's money = ⁴₁₄ of Andy's money

Amount that Emma had at first = 5 u
Amount that Andy had at first = 14 u

Amount that Emma had less than Andy had at first
= 14 u - 5 u
= 9 u

9 u = 1035

1 u = 1035 ÷ 9 = 115

Amount that Andy had at first
= 14 u
= 14 x 115
= $1610

Answer(s): $1610