Question

Jared and Karla jointly purchase a sandwich for $8.00 that is half meatball, half vegetarian and 12 inches long. Jared likes meatball three times as much as vegetarian. Karla is a vegetarian, she does not eat meat at all. Assume that the two just met and that Jared does not know Karla is a vegetarian. The sandwich will be cut once, perpendicularly to the length of the sandwich. Using a ruler to represent the 12 inches of the sandwich, the vegetarian part is on the interval [0, 6] and the meatball is on the interval [6, 12] They flip a coin and Jared ends up as the divider.

Answer 1

a) Use interval notation to describe the two shares that Jared should create

s1 = [0, ?] and s2 = [?, 12]

b) Based on Jared's division, which share would Karla choose