Question

The bag contains 100 Snickers, 100 Milky Ways, and 100 Reese's, which Bill values at $2, $5, and $1 respectively. If Bill is the divider, find a possible division that is consistent with his value system.

Answer 1

>> I assumed that it was a fair share, when Bill was divider, and divided the sum by 2. However, using the same approach, you may calculate for any proportion you'd like

100 Snickers cost $2 → 1 Snickers costs $2/100 = $0.02

100 Milky Ways cost $5 → 1 Milky Way costs $5/100 = $0.05

100 Reese's cost $1 → 1 Reese's costs $1/100 = $0.01

The total amount of money = $2 + $5 + $1 = $8

Assuming that there is fair share, the sweets, that Bill gets, cost 8/2=$4.

So, let's set up an equation:

x - number of snickers

y - number of milky way

z - number of reese's

0.02x + 0.05y + 0.01z = 8.00 -- when x=100, y=100, z=100

Therefore, logically, if we half the amount of sweets of each category, we will get sweets for $4.

proof: x=50, y=50, z=50

0.02*50 + 0.05*50 + 0.01*50 = $4