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Andy, Bert, and Charles have 20 pieces of chocolate. Some of the chocolates have nuts, some are plain, and some are filled with caramel (they are split in a ratio of 1:2:2, respectively). Neither Andy nor Charles can eat nuts, and Charles will always take caramels over plain chocolates if he can (the others are indifferent to plain or caramels). If Andy, Bert, and Charles split the chocolates among themselves in a ratio of 3:1:1, respectively, in a way that makes each person as happy as possible, how many pieces of chocolate with caramel does Andy receive?

 Jul 29, 2020
 #1
avatar+21958 
+1

Andy      =   12 pieces

Bert        =    4 pieces

Charles  =    4 pieces

 

Nuts         =    4 pieces

Plain        =    8 pieces

Caramel  =    8 pieces

 

Give Bert the 4 with nuts.

Give Charles 4 with caramel.

Give Andy the 8 plain and 4 with caramel.

 Jul 29, 2020
 #2
avatar+81 
0

thank you that helps a lot!

laureli  Jul 30, 2020

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