Question

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, $5, and $2 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: 25 Snickers, 20 Milky Ways, and 60 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.

Answer 1

a)2,45$

b)No

c)1st half: 50 Snickers, 50 Milky Ways, 50 Reese's

2st half: 50 Snickers, 50 Milky Ways, 50 Reese's

Explanation:

a)The value of this half in Dustin's eyes is:

`Value=0,01*25+0,05*20+0,02*60=2,45$`

2,45$

b)Lets find the other half's value in Dustin's eyes:

`Value(2)=0,02*75+0,05*80+0,02*40=6,3$`

6,3$>2,45$

It is not a fair share for Dustin.

c)If Dustin was a divider, we would divide it like below:

1st half: 50 Snickers, 50 Milky Ways, 50 Reese's

2st half: 50 Snickers, 50 Milky Ways, 50 Reese's