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# help

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A customer ordered 15 pieces of gourmet chocolate. The order can be packaged in small boxes that contain 1, 2 or 4 pieces of chocolate. Any box that is used must be full. How many different combinations of boxes can be used for the customer’s 15 chocolate pieces? One such combination to be included is to use seven 2-piece boxes and one 1-piece box.

May 28, 2020

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Create a table with three columns

-- one column is the number of boxes that contain 1 piece of chocolate

-- one column is the number of boxes that contain 2 pieces of chocolate

-- one column is the number of boxes that contain 4 pieces of chocolate.

1 piece          2 pieces         4 pieces

______         _______         _______

15                   0                     0

13                   1                     0

11                    2                    0

11                    0                    1

9                    3                     0

9                    1                     1

7                    4                     0

7                    2                     1

7                    0                     2

5                     5                    0

5                     3                    1

5                     1                    2

etc.

May 28, 2020