Dustin and Kendra want to split a bag of fun -sized candy, and decide to use the divider -chooser method.

Question

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 D ustin consider this a fair share? c. If Dustin was a divider, find a possible division that is consistent with his value system

Answer 1

Snickers: s = .01

Milky Way: m = .03

Reeses: r = .05

Total = 100(.01+.03+.05) = 9

 

30s + 40m + 66r = 

30(.01) + 40(.03) + 66(.05) 

= .3+ 1.2 + 3.3 

=4.8 

 

Since half the total value for Dustin

is 9/2 = 4.5 and this share is 4.8

then it isn't equal.  We need to drop

0.3 from the total.  If we drop 6

reeses that is 6(.05)= .3

 

Even shares:

30 snickers, 40 milky ways, 60 reeses

 

check: 30(.01)+40(.03)+60(.05) = 4.5