Eva had $1092 less than Luis. Eva spent ¹₇ of her money and Luis spent ⁵₇ of his money. In the end, Luis and Eva had the same amount of money left. Find the amount of money Luis had at first.

	Eva	Luis	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 Eva's money left
= 1 - ¹₇
= ⁶₇

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

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

⁶₇ of Eva's money = ²₇ of Luis's money
⁶₇ of Eva's money = ⁶₂₁ of Luis's money

Amount that Eva had at first = 7 u
Amount that Luis had at first = 21 u

Amount that Eva had less than Luis had at first
= 21 u - 7 u
= 14 u

14 u = 1092

1 u = 1092 ÷ 14 = 78

Amount that Luis had at first
= 21 u
= 21 x 78
= $1638

Answer(s): $1638