Tiffany had $954 less than Flynn. Tiffany spent ¹₅ of her money and Flynn spent ⁵₇ of his money. In the end, Flynn and Tiffany had the same amount of money left. Find the amount of money Flynn had at first.

	Tiffany	Flynn	Difference
Before	5x1 = 5 u	7x2 = 14 u	9 u
Change	- 1x1 = - 1 u	- 5x2 = - 10 u
After	4x1 = 4 u	2x2 = 4 u

Fraction of Tiffany's money left
= 1 - ¹₅
= ⁴₅

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

Flynn and Tiffany had the same amount of money in the end. Make the numerators the same. LCM of 4 and 2 is 4.

⁴₅ of Tiffany's money = ²₇ of Flynn's money
⁴₅ of Tiffany's money = ⁴₁₄ of Flynn's money

Amount that Tiffany had at first = 5 u
Amount that Flynn had at first = 14 u

Amount that Tiffany had less than Flynn had at first
= 14 u - 5 u
= 9 u

9 u = 954

1 u = 954 ÷ 9 = 106

Amount that Flynn had at first
= 14 u
= 14 x 106
= $1484

Answer(s): $1484