Final answer:
Each person will get option a) 1/3 of a pie.
Explanation:
If there are 2 pies to be shared among 6 people, the total number of portions is 2 pies multiplied by the number of portions per pie, which is 2 x 6 = 12 portions. To find out how much each person gets, divide the total portions by the number of people.
Therefore, 12 portions divided by 6 people equals 2 portions per person. Since each pie is divided into 6 portions (2 pies * 6 portions per pie), each portion is 1/6 of a pie. Therefore, 2 portions per person x 1/6 pie per portion = 2/6 pie per person. Simplifying 2/6 pie gives 1/3 of a pie per person.
So, based on the calculations, each person will receive 1/3 of a pie. This aligns with option a) 1/3 of a pie as the correct answer. This solution ensures equal distribution among the 6 people when sharing the 2 pies from Megan's mother's shop, providing a fair and accurate division of the pies.