Min had $364 less than Harry. Min spent ¹₇ of her money and Harry spent ⁵₇ of his money. In the end, Harry and Min had the same amount of money left. Find the amount of money Harry had at first.

	Min	Harry	Difference
Before	7x1 = 7 u	7x3 = 21 u	14 u
Change	- 1x1 = - 1 u	- 5x3 = - 15 u
After	6x1 = 6 u	2x3 = 6 u

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

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

Harry and Min had the same amount of money in the end. Make the numerators the same. LCM of 6 and 2 is 6.

⁶₇ of Min's money = ²₇ of Harry's money
⁶₇ of Min's money = ⁶₂₁ of Harry's money

Amount that Min had at first = 7 u
Amount that Harry had at first = 21 u

Amount that Min had less than Harry had at first
= 21 u - 7 u
= 14 u

14 u = 364

1 u = 364 ÷ 14 = 26

Amount that Harry had at first
= 21 u
= 21 x 26
= $546

Answer(s): $546