Rachel had $525 less than Glen. Rachel spent ¹₅ of her money and Glen spent ³₅ of his money. In the end, Glen and Rachel had the same amount of money left. Find the amount of money Glen had at first.

	Rachel	Glen	Difference
Before	5x1 = 5 u	5x2 = 10 u	5 u
Change	- 1x1 = - 1 u	- 3x2 = - 6 u
After	4x1 = 4 u	2x2 = 4 u

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

Fraction of Glen's money left
= 1 - ³₅
= ²₅

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

⁴₅ of Rachel's money = ²₅ of Glen's money
⁴₅ of Rachel's money = ⁴₁₀ of Glen's money

Amount that Rachel had at first = 5 u
Amount that Glen had at first = 10 u

Amount that Rachel had less than Glen had at first
= 10 u - 5 u
= 5 u

5 u = 525

1 u = 525 ÷ 5 = 105

Amount that Glen had at first
= 10 u
= 10 x 105
= $1050

Answer(s): $1050