Three friends, ana, jack and nick come together to purchase a special from a pizza place. it is a half pepperoni, half mushrooms pizza. unknown to the others, nick does not like mushroom pizza at all; ana likes pepperoni as much as she likes mushrooms; jack likes mushrooms twice as much as he likes pepperoni. they decide to use the cut and choose method. ana cuts in the first round and jack chooses. nick enters the second round. carry out the fair division, exploring at least two different choices in the first round.