Nora had $979 less than Harry. Nora spent ¹₇ of her money and Harry spent ²₃ of his money. In the end, Harry and Nora had the same amount of money left. Find the amount of money Harry had at first.

	Nora	Harry	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 Nora's money left
= 1 - ¹₇
= ⁶₇

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

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

⁶₇ of Nora's money = ¹₃ of Harry's money
⁶₇ of Nora's money = ⁶₁₈ of Harry's money

Amount that Nora had at first = 7 u
Amount that Harry had at first = 18 u

Amount that Nora had less than Harry had at first
= 18 u - 7 u
= 11 u

11 u = 979

1 u = 979 ÷ 11 = 89

Amount that Harry had at first
= 18 u
= 18 x 89
= $1602

Answer(s): $1602