Anna had $1540 less than Glen. Anna spent ¹₇ of her money and Glen spent ⁵₇ of his money. In the end, Glen and Anna had the same amount of money left. Find the amount of money Glen had at first.

	Anna	Glen	Difference
Before	7x1 = 7 u	7x3 = 21 u	14 u
Change	- 1x1 = - 1 u	- 5x3 = - 15 u
After	6x1 = 6 u	2x3 = 6 u

Fraction of Anna's money left
= 1 - ¹₇
= ⁶₇

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

Glen and Anna had the same amount of money in the end. Make the numerators the same. LCM of 6 and 2 is 6.

⁶₇ of Anna's money = ²₇ of Glen's money
⁶₇ of Anna's money = ⁶₂₁ of Glen's money

Amount that Anna had at first = 7 u
Amount that Glen had at first = 21 u

Amount that Anna had less than Glen had at first
= 21 u - 7 u
= 14 u

14 u = 1540

1 u = 1540 ÷ 14 = 110

Amount that Glen had at first
= 21 u
= 21 x 110
= $2310

Answer(s): $2310