Question

The waiter places a bowl of soup in front of Caesar. In a counterclockwise direction, he passes the soup to Jada who then passes it to Haifa. Which two rotations about the center of the table describe passing the soup?

Answer 1

A 270 rotation counterclockwise and a 90 degree clockwise

Answer 2

Answer:

We choose answer C) First 150° and then 60°

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

The waiter places a bowl of soup in front of Caesar. In a counterclockwise direction, he passes the soup to Jada who then passes it to Haifa. Which two rotations about the center of the table describe passing the soup?

A) First 200° and then 80°

B) First 180° and then 72°

C) First 150° and then 60°

D) First 100° and then 40°

My answer:

From the photo, we can see that there are 12 people or 12 places in the circle. And each person has the same distance to other one.

Hence, we can find the the arch degrees between two members:

360 / 12 = 30 °

So from  Caesar to Jada, we have to pass through 5 arches

=> the rotation counterclockwise in this situation is: 30 ° *5 = 150°

So from Jada to Haifa, we have to pass through 2 arches

=> the rotation counterclockwise in this situation is: 30 ° *2 = 60°

We choose answer C) First 150° and then 60°