Question

jena wants to share a 6-segment chewy fruit worm the tape diagram. below shows the marks she made on the worm so she can share it equally among the members in her CMP group

Answer 1

16   
yes there is different ways to seperate it because it has not been seperated evenly
1/2
1/16

Answer 2

Answer:

1. There are 8 people, because the first 4 segments are divided into 8 equal parts and the last 2 segments are also divided into 8 equal parts.

2. There are other possibilities. Those are 2 and 4 people. In the 4 people scenario, each person receives 2 big parts (from the start of the worm) and 2 small parts (from the end of the worm). In the 2 people scenario, each person receives 4 big parts (from the start of the worm) and 4 small parts (from the end of the worm).

3. In the 8 people scenario, each person receives 1 big part (from the start of the worm) and 1 small part (from the end of the worm).

4. The first 8 parts of the worm represent 2/3 of the complete worm. Then, each part is (1/8)*(2/3) = 2/24 = 1/12 of complete worm.

The last 8 parts of the worm represent 1/3 of complete worm. Then, each part is (1/8)*(1/3) = 1/24 of complete worm.

Therefore, each person gets 1/12 + 1/24 = 3/24 of the complete worm.