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
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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:
\ +\ (2n\ -\ 1)\ +\ (2p\ -\ 1)\ =\ 2(m\ +\ n\ +\ p\ -\ 1)\ -\ 1)
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
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