Jade had $250 less than Jeremy. Jade spent ¹₄ of her money and Jeremy spent ²₃ of his money. In the end, Jeremy and Jade had the same amount of money left. Find the amount of money Jeremy had at first.

	Jade	Jeremy	Difference
Before	4x1 = 4 u	3x3 = 9 u	5 u
Change	- 1x1 = - 1 u	- 2x3 = - 6 u
After	3x1 = 3 u	1x3 = 3 u

Fraction of Jade's money left
= 1 - ¹₄
= ³₄

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

Jeremy and Jade had the same amount of money in the end. Make the numerators the same. LCM of 3 and 1 is 3.

³₄ of Jade's money = ¹₃ of Jeremy's money
³₄ of Jade's money = ³₉ of Jeremy's money

Amount that Jade had at first = 4 u
Amount that Jeremy had at first = 9 u

Amount that Jade had less than Jeremy had at first
= 9 u - 4 u
= 5 u

5 u = 250

1 u = 250 ÷ 5 = 50

Amount that Jeremy had at first
= 9 u
= 9 x 50
= $450

Answer(s): $450