Emma had $1008 less than Perry. Emma spent ¹₇ of her money and Perry spent ⁵₇ of his money. In the end, Perry and Emma had the same amount of money left. Find the amount of money Perry had at first.

	Emma	Perry	Difference
Before	7x1 = 7 u	7x3 = 21 u	14 u
Change	- 1x1 = - 1 u	- 5x3 = - 15 u
After	6x1 = 6 u	2x3 = 6 u

Fraction of Emma's money left
= 1 - ¹₇
= ⁶₇

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

Perry and Emma had the same amount of money in the end. Make the numerators the same. LCM of 6 and 2 is 6.

⁶₇ of Emma's money = ²₇ of Perry's money
⁶₇ of Emma's money = ⁶₂₁ of Perry's money

Amount that Emma had at first = 7 u
Amount that Perry had at first = 21 u

Amount that Emma had less than Perry had at first
= 21 u - 7 u
= 14 u

14 u = 1008

1 u = 1008 ÷ 14 = 72

Amount that Perry had at first
= 21 u
= 21 x 72
= $1512

Answer(s): $1512