Prizes totaling $75,000 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) $15,000  D) (d) $24,000  E) (e) $65,000
The highest prize cannot possibly be less than 1/3rd of 75,000 (because in this case the sum of 3 prizes would be less than 75,000) and cannot be more than 75,000.   Answer: (e) $65,000.
<result>E</result>
Prizes totaling $75,000 were awarded unequally between 3 contestants. Which of the following choices could be the highest prize?