Prizes totaling $45,000 were awarded unequally between 3 contestants. Which of the following choices could be the highest prize?	Choose the correct choice from the following options:
A) (a) $5,000	B) (b) $10,000	C) (c) $17,000	D) (d) $55,000	E) (e) $65,000
The highest prize cannot possibly be less than 1/3rd of 45,000 (because in this case the sum of 3 prizes would be less than 45,000) and cannot be more than 45,000.   Answer: (c) $17,000.
<result>C</result>
Prizes totaling $45,000 were awarded unequally between 3 contestants. Which of the following choices could be the highest prize?