Usha had $2737 less than George. Usha spent ¹₆ of her money and George spent ⁵₇ of his money. In the end, George and Usha had the same amount of money left. Find the amount of money George had at first.

	Usha	George	Difference
Before	6x2 = 12 u	7x5 = 35 u	23 u
Change	- 1x2 = - 2 u	- 5x5 = - 25 u
After	5x2 = 10 u	2x5 = 10 u

Fraction of Usha's money left
= 1 - ¹₆
= ⁵₆

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

George and Usha had the same amount of money in the end. Make the numerators the same. LCM of 5 and 2 is 10.

⁵₆ of Usha's money = ²₇ of George's money
¹⁰₁₂ of Usha's money = ¹⁰₃₅ of George's money

Amount that Usha had at first = 12 u
Amount that George had at first = 35 u

Amount that Usha had less than George had at first
= 35 u - 12 u
= 23 u

23 u = 2737

1 u = 2737 ÷ 23 = 119

Amount that George had at first
= 35 u
= 35 x 119
= $4165

Answer(s): $4165