Question

Stephen and Laura 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 Stephen values at $1, $3, and $4 respectively. (This means Stephen 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

a) $4.14

b) No

c) 28 Snickers, 40 Milky Ways, 63 Reese's

72 Snickers, 60 Milky Ways, 37 Reese's

Explanation:

a)

Since 1 Snickers is $0.01, 1 Milky Ways is $0.03, and 1 Reese's is $0.04:

30 Snickers: 30(0.01) = 0.3

40 Milky Ways: 40(0.03) = 1.2

66 Reese's: 66(0.04) = 2.64

The value is: 0.3 + 1.2 + 2.64 = 4.14

b)

The total value is: 1 + 3 + 4 = 8

A fair share must have the same value, 8/2 = 4. Since one half is 4.14 which is more than 4, it is not a fair share.

c)

First half:

28 Snickers: 28(0.01) = 0.28

40 Milky Ways: 40(0.03) = 1.2

63 Reese's: 63(0.04) = 2.52

Second half:

72 Snickers: 72(0.01) = 0.72

60 Milky Ways: 60(0.03) = 1.8

37 Reese's: 37(0.04) = 1.48