he following question has two parts. First, answer part A. Then, answer part B. The following information applies to both parts.
Dario purchased a party size sub, and he decides to share it with 3 of his friends. So, he cuts the sub into 4 equal pieces. However, another one of his friends also showed up, and there are now 5 people in total.
Part A
Now that the sub will be shared equally among 5 people, will each person get more or less sub? Briefly state why you think so.
(2 points)
Question 2
Part B
Dario decides to take each one of the 4 pieces and share it equally among the 5 of them. First, he divides one piece into 5 equal parts and shares it, then the next one, and so on.
What fraction of the party size sub did each person get after all the parts were shared out? Briefly explain your reasoning.
(2 points)
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Part A: Each person will get less sub because now there are more people sharing the same amount of sub. So, the portion size for each person will decrease.
Part B: Each person will get 1/5 of a quarter of the sub. Since the sub was cut into 4 equal pieces and each piece was further divided into 5 parts, each person will get 1/5 of 1/4 of the entire sub, which simplifies to 1/20 of the party size sub.
why do you think that on part a people will have less sub state why you think so
In part A, I think that each person will get less sub because the total amount of sub remains the same (the whole party size sub), but now there are more people (5 instead of 4) sharing it. Since the sub is being divided among more people, each individual's portion will inevitably be smaller compared to if it was divided among fewer people. Therefore, each person will get a smaller fraction of the party size sub in this situation.
also explain your reasoning in part b
In part B, each of the 4 pieces of the party size sub was divided into 5 equal parts, meaning each piece was divided into 5 equal smaller portions. Since there are 4 pieces, each person will receive 1/5 of each of the 4 pieces.
To simplify further, since each piece represents 1/4 of the total party size sub and each person is getting 1/5 of that 1/4 piece, each person will receive 1/5 * 1/4 = 1/20 of the party size sub. Therefore, each person will get 1/20 of the original sub after all the parts are shared out.