Mary had $884 less than Seth. Mary spent ¹₄ of her money and Seth spent ⁵₇ of his money. In the end, Seth and Mary had the same amount of money left. Find the amount of money Seth had at first.

	Mary	Seth	Difference
Before	4x2 = 8 u	7x3 = 21 u	13 u
Change	- 1x2 = - 2 u	- 5x3 = - 15 u
After	3x2 = 6 u	2x3 = 6 u

Fraction of Mary's money left
= 1 - ¹₄
= ³₄

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

Seth and Mary had the same amount of money in the end. Make the numerators the same. LCM of 3 and 2 is 6.

³₄ of Mary's money = ²₇ of Seth's money
⁶₈ of Mary's money = ⁶₂₁ of Seth's money

Amount that Mary had at first = 8 u
Amount that Seth had at first = 21 u

Amount that Mary had less than Seth had at first
= 21 u - 8 u
= 13 u

13 u = 884

1 u = 884 ÷ 13 = 68

Amount that Seth had at first
= 21 u
= 21 x 68
= $1428

Answer(s): $1428