Xandra had $792 less than Jeremy. Xandra spent ¹₅ of her money and Jeremy spent ⁵₇ of his money. In the end, Jeremy and Xandra had the same amount of money left. Find the amount of money Jeremy had at first.

	Xandra	Jeremy	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 Xandra's money left
= 1 - ¹₅
= ⁴₅

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

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

⁴₅ of Xandra's money = ²₇ of Jeremy's money
⁴₅ of Xandra's money = ⁴₁₄ of Jeremy's money

Amount that Xandra had at first = 5 u
Amount that Jeremy had at first = 14 u

Amount that Xandra had less than Jeremy had at first
= 14 u - 5 u
= 9 u

9 u = 792

1 u = 792 ÷ 9 = 88

Amount that Jeremy had at first
= 14 u
= 14 x 88
= $1232

Answer(s): $1232