Tiffany had $704 less than Vaidev. Tiffany spent ¹₇ of her money and Vaidev spent ²₃ of his money. In the end, Vaidev and Tiffany had the same amount of money left. Find the amount of money Vaidev had at first.

	Tiffany	Vaidev	Difference
Before	7x1 = 7 u	3x6 = 18 u	11 u
Change	- 1x1 = - 1 u	- 2x6 = - 12 u
After	6x1 = 6 u	1x6 = 6 u

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

Fraction of Vaidev's money left
= 1 - ²₃
= ¹₃

Vaidev and Tiffany had the same amount of money in the end. Make the numerators the same. LCM of 6 and 1 is 6.

⁶₇ of Tiffany's money = ¹₃ of Vaidev's money
⁶₇ of Tiffany's money = ⁶₁₈ of Vaidev's money

Amount that Tiffany had at first = 7 u
Amount that Vaidev had at first = 18 u

Amount that Tiffany had less than Vaidev had at first
= 18 u - 7 u
= 11 u

11 u = 704

1 u = 704 ÷ 11 = 64

Amount that Vaidev had at first
= 18 u
= 18 x 64
= $1152

Answer(s): $1152