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

	Linda	Daniel	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 Linda's money left
= 1 - ¹₇
= ⁶₇

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

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

⁶₇ of Linda's money = ¹₃ of Daniel's money
⁶₇ of Linda's money = ⁶₁₈ of Daniel's money

Amount that Linda had at first = 7 u
Amount that Daniel had at first = 18 u

Amount that Linda had less than Daniel had at first
= 18 u - 7 u
= 11 u

11 u = 704

1 u = 704 ÷ 11 = 64

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

Answer(s): $1152