Family Mathematics Problem Solving
Sponsored by
The Somerville Mathematics Fund

The Family Mathematics problems are written for adults and children to work on together. They are not meant as another homework to be turned in to your child’s teacher, instead it is an opportunity for you to work together to solve a mathematical problem. This Month’s Family Mathematics Problem is in the spirit of extravagant seasonal spending. We hope you will enjoy working together to solve these problems.
For solutions see below.
The Somerville Mathematics Fund was founded in 2000 to celebrate and encourage mathematics achievement in the city of Somerville. We offer scholarships to students and grants to teachers.
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From December 2002    
All Grades



Family Mathematics Problem Solving: All Grades

The Twelve Days of Christmas
On 3 December 1985, The Boston Globe printed a story about the cost of the presents in the traditional holiday song “The Twelve Days of Christmas” suggesting that the total cost would be $12,280 and ending with “it might be easier to settle for a sweater.” The Globe article listed the cost of each of the items and found the total. Actually, that was not the correct cost for the presents in 1985.
If you sing the song, you quickly discover that only the last gift of 12 drummers drumming is given once. On the first day “my true love gave to me a partridge in a pear tree. On the second day of Christmas my true love gave to me two turtle doves and a partridge in a pear tree. On the third day of Christmas my true love gave to me three French hens, two turtle doves, and a partridge in a pear tree....” As you can see the gifts accumulate quickly and the price adds up quickly.
Here are the prices as of December 2001 for each of the items:
one partridge $15 and one pear tree $125
two turtle doves $58
three French hens $15
four calling birds $316
five gold rings $375
six geese-a-laying $150
seven swans-a-swimming $3,500
eight maids-a-milking $41.21
nine ladies dancing $4,019.24
ten lords-a-leaping $3,770.62
eleven pipers piping $1,614.60
twelve drummers drumming $1,749.15
How much would my true love need to spend to buy me all of these gifts according to these prices?
If I was overwhelmed by the space that the number of gifts took up in my home and decided to return them, one each day starting the day after Christmas, on which date would I return the last gift?
What is the percent inflation since 1985 for just one of each gift?


 

 




Other Problem Solving Sources:
http://mathforum.org/pow/
http://www.figurethis.org/index40.htm
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