Math 300

Groupwork

The 12 Days of Christmas

Dr. Wilson

 

In the Christmas song, "The 12 Days of Christmas", how many total gifts does her true love give to her? The gifts are:

  1. A partridge in a pear tree,
  2. Two turtle doves,
  3. Three french hens,
  4. Four calling birds,
  5. Five gold rings,
  6. Six geese a-laying
  7. Seven swans a-swimming,
  8. Eight maids a-milking,
  9. Nine ladies dancing,
  10. Ten lords a-leaping,
  11. Eleven pipers piping,
  12. Twelve drummers drumming.

We can count the total number of each gift.

She gets 1 partridge in a pear tree on each of the 12 days.

1 x 12

=

12

She gets 2 turtle doves on the last 11 days.

2 x 11

=

22

She gets 3 french hens on the last 10 days.

3 x 10

=

30

She gets 4 calling birds on the last 9 days.

4 x 9

=

36

She gets 5 gold rings on the last 8 days.

5 x 8

=

40

She gets 6 geese a-laying on the last 7 days.

6 x 7

=

42

She gets 7 swans a-swimming on the last 6 days.

7 x 6

=

42

She gets 8 maids a-milking on the last 5 days.

8 x 5

=

40

She gets 9 ladies dancing on the last 4 days.

9 x 4

=

36

She gets 10 lords a-leaping on the last 3 days.

10 x 3

=

30

She gets 11 pipers piping on the last 2 days.

11 x 2

=

22

She gets 12 drummers drumming on the last day.

12 x 1

=

12

Total

364

She gets a total of 364 gifts.