Jade had $968 less than David. Jade spent ¹₇ of her money and David spent ²₃ of his money. In the end, David and Jade had the same amount of money left. Find the amount of money David had at first.

	Jade	David	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 Jade's money left
= 1 - ¹₇
= ⁶₇

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

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

⁶₇ of Jade's money = ¹₃ of David's money
⁶₇ of Jade's money = ⁶₁₈ of David's money

Amount that Jade had at first = 7 u
Amount that David had at first = 18 u

Amount that Jade had less than David had at first
= 18 u - 7 u
= 11 u

11 u = 968

1 u = 968 ÷ 11 = 88

Amount that David had at first
= 18 u
= 18 x 88
= $1584

Answer(s): $1584