2/5 of Zoe's money was $12 more than 2/3 of Luke's money. When Zoe gave Luke $50, both of them had the same amount of money in the end. How much did Luke have at first?
2/5 z = 12 + 2/3 l or
z = 5/2 (12 + 2/3 l) given
z-50 = l + 50 sub in the red equation
5/2 ( 12 + 2/3 l ) = l + 50
30 + 10/6 l -50 = l +50
-70 = - 4/6 l
l = $ 105 originally