SOLUTION: I am home schooled, I have tried to figure this out but I really do not know where to start could you please explain to me how to do this problem. Thank you. Jane has a spinner

Click here to see ALL problems on Miscellaneous Word Problems

Question 551186: I am home schooled, I have tried to figure this out but I really do not know where to start could you please explain to me how to do this problem.
Thank you.
Jane has a spinner with eight sections of equal size. The sections are labeled 1,3,5,7,11,13,15, and 17. She spins the spinner 3 times and adds the numbers that she spins.
Which of the following number could be the sum of her three numbers: 4, 30,31, or 52?
Do I add all the numbers and then multiply by 3?
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

All of the possible spinner sections have odd numbers. The sum of three odd numbers is odd.

Proof:

The th odd number is , the th odd number is , and the th odd number is , and the sum of these three arbitrary odd numbers is:

Which can be clearly seen to have a remainder of 1 when divided by 2, ergo the sum is odd.

John

My calculator said it, I believe it, that settles it