Prizes totaling $30,000 were awarded unequally between 3 contestants. Which of the following choices could be the highest prize?  Choose the most appropriate option
A) (a) $5,000	B) (b) $12,000	C) (c) $35,000	D) (d) $25,000	E) (e) $65,000
The highest prize cannot possibly be less than 1/3rd of 30,000 (because in this case the sum of 3 prizes would be less than 30,000) and cannot be more than 30,000.   Answer: (b) $12,000.
<result>B</result>
Prizes totaling $30,000 were awarded unequally between 3 contestants. Which of the following choices could be the highest prize?