kevincan
In one year, 600 academic awards were given at a university, either plaques or cash awards. What was the average amount of the cash awards that were greater than $500?
(1) Four-fifths of the awards were plaques, and the total amount awarded in cash was $36,000.
(2) The 25 largest cash awards averaged $720, and the remaining cash awards averaged $240.
600 awards were divided into Plaques and cash awards.
But, the question asks about Average cash awards GREATER THAN $500 ?
To calculate it we need the value of cash awards greater than $500, and the number of cash awards that’s greater than $500.
Statement 1:
Four-fifths of the awards were plaques, and the total amount awarded in cash was $36,000.
plaques = (4/5)*600 = 480
cash awards = 120
This statement gives the total average of cash awards. But, we need to find the subset within cash awards, value greater than $500. Hence,
Insufficient. Statement 2:
The 25 largest cash awards averaged $720, and the remaining cash awards averaged $240.
Whats the total number of cash awards. Which is unknown. Hence,
Insufficient Combining both, we get
120 cash awards in total. Out of which 25 cash awards averaged $720.
And the remaining, 95 cash awards averaged $240.
This also gives the total average of cash awards.
But, fails to provide the average cash awards Greater than $500. Hence,
Insufficient Option E.