Yen had $1836 less than Glen. Yen spent ¹₆ of her money and Glen spent ⁴₇ of his money. In the end, Glen and Yen had the same amount of money left. Find the amount of money Glen had at first.

	Yen	Glen	Difference
Before	6x3 = 18 u	7x5 = 35 u	17 u
Change	- 1x3 = - 3 u	- 4x5 = - 20 u
After	5x3 = 15 u	3x5 = 15 u

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

Fraction of Glen's money left
= 1 - ⁴₇
= ³₇

Glen and Yen had the same amount of money in the end. Make the numerators the same. LCM of 5 and 3 is 15.

⁵₆ of Yen's money = ³₇ of Glen's money
¹⁵₁₈ of Yen's money = ¹⁵₃₅ of Glen's money

Amount that Yen had at first = 18 u
Amount that Glen had at first = 35 u

Amount that Yen had less than Glen had at first
= 35 u - 18 u
= 17 u

17 u = 1836

1 u = 1836 ÷ 17 = 108

Amount that Glen had at first
= 35 u
= 35 x 108
= $3780

Answer(s): $3780