- Ahmed and Tiana buy a cake for $14 that is half chocolate and half vanilla. They cut the cake into 8 slices.
If Ahmed likes chocolate four times as much as vanilla, what is the value of a slice that is half chocolate, half vanilla?
- Dustin and Kendra want to split a bag of fun-sized candy, and decide to use the divider-chooser method. The bag contains 100 Snickers, 100 Milky Ways, and 100 Reese’s, which Dustin values at $1, $3, and $5 respectively. (This means Dustin values the 100 Snickers together at $1, or $0.01 for 1 Snickers). If Kendra is the divider, and in one half puts: 30 Snickers, 40 Milky Ways, and 66 Reese’s a.) What is the value of this half in Dustin’s eyes? b.) Does Dustin consider this a fair share? c.) If Dustin was a divider, find a possible division that is consistent with his value system.
- Jenna, Tatiana, and Nina are dividing a large bag of candy. They randomly split the bag into three bowls. The values of the entire bag and each of the three bowls in the eyes of each of the players are shown below. For each player, identify which bowls they value as a fair share.
Whole Bag
Bowl 1
Bowl 2
Bowl 3
Jenna
$8
$4.50
$0.75
$2.75
Tatiana
$4
$1.00
$1.00
$2.00
Nina
$6
$1.75
$2.50
$1.75
- After living together for a year, Emily, Kayla, and Kendra have decided to go their separate ways. They have several items they bought together to divide, as well as some moving-out chores. The values each place are shown below. Find the final allocation.
Emily
Kayla
Kendra
Dishes
20
30
40
Vacuum cleaner
100
120
80
Dining table
100
80
130
Detail cleaning
-70
-40
-50
Cleaning carpets
-30
-60
-50
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