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?

Guest Apr 19, 2021

#1**+1 **

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

ElectricPavlov Apr 19, 2021