Question

At the beginning of every New Year, Noë’s family has a tradition where they gather
around the kitchen table with a bowl full of grapes. Along with his mother, father
and sister, each family member makes 12 wishes and eats one grape per wish.
They take turns, making a wish and eating a grape each round, until they have
completed 12 rounds.
a How many grapes will be eaten in all?
Show your working.
b At what point will half of the grapes be eaten?
Justify your answer.
c At what point will of the grapes be eaten?
Justify your answer.
d At what point will of the grapes be eaten?
Justify your answer.
e After seven rounds, what fraction of the grapes have
been eaten? Find your answer in two dierent ways.
f When only two grapes are left, what fraction of the
grapes have been eaten? Justify your answer.
g Discuss any rituals that your family has to celebrate or anticipate the New Year.
How do these traditions develop connections between family members?

Answer 1

Answer:

First, we need to find out how many members are there