Emma had $184 less than Perry. Emma spent ¹₇ of her money and Perry spent ³₅ 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	5x3 = 15 u	8 u
Change	- 1x1 = - 1 u	- 3x3 = - 9 u
After	6x1 = 6 u	2x3 = 6 u

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

Fraction of Perry's money left
= 1 - ³₅
= ²₅

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 = ²₅ of Perry's money
⁶₇ of Emma's money = ⁶₁₅ of Perry's money

Amount that Emma had at first = 7 u
Amount that Perry had at first = 15 u

Amount that Emma had less than Perry had at first
= 15 u - 7 u
= 8 u

8 u = 184

1 u = 184 ÷ 8 = 23

Amount that Perry had at first
= 15 u
= 15 x 23
= $345

Answer(s): $345