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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?

 Apr 19, 2021
 #1
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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

 Apr 19, 2021

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