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George had some cards at first. He gave 1/5 of his cards to his brother and 1/4 of the remainder to his neighbor. After that, George bought 77 cards and had a total of 233 cards in the end. How many cards did George have at first?

 Jun 22, 2021
 #1
avatar+33606 
+1

g  = original cards

       gives 1/5 to brother leaving him 4/5 g

             gives 1/4 of this amount leaving him 3/4 (4/5 g )

                      adds 77 cards   3/4 (4/5 g) + 77  = 233      solve for g = 260 cards  originally 

 Jun 22, 2021
 #2
avatar+290 
+1

1/5*1/4=1/5    1/5+1/5=2/5    1-2/5=3/5     3/5----)233-77=156

1/5----) 156÷3=52      5/5---)52*5=260

 Jun 22, 2021

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