Pamela had $2691 less than Owen. Pamela spent ¹₆ of her money and Owen spent ⁵₇ of his money. In the end, Owen and Pamela had the same amount of money left. Find the amount of money Owen had at first.

	Pamela	Owen	Difference
Before	6x2 = 12 u	7x5 = 35 u	23 u
Change	- 1x2 = - 2 u	- 5x5 = - 25 u
After	5x2 = 10 u	2x5 = 10 u

Fraction of Pamela's money left
= 1 - ¹₆
= ⁵₆

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

Owen and Pamela had the same amount of money in the end. Make the numerators the same. LCM of 5 and 2 is 10.

⁵₆ of Pamela's money = ²₇ of Owen's money
¹⁰₁₂ of Pamela's money = ¹⁰₃₅ of Owen's money

Amount that Pamela had at first = 12 u
Amount that Owen had at first = 35 u

Amount that Pamela had less than Owen had at first
= 35 u - 12 u
= 23 u

23 u = 2691

1 u = 2691 ÷ 23 = 117

Amount that Owen had at first
= 35 u
= 35 x 117
= $4095

Answer(s): $4095