Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.25 more than the next one below it in size. What was the cost, in dollars, of the largest pot?
A. $1.75
B. $1.85
C. $2.00
D. $2.15
E. $2.30
The prices are evenly spaced integers, with a difference of 25 cents from one price to the next.
With evenly spaced integers, average = median = sum/number.
Thus, the median of the 6 prices = 825/6 ≈ 137.
Since the total is a multiple of 25, and the difference from one price to the next is 25, each price must be a multiple of 25.
Since the median is 137, the 3 most expensive prices are 150, 175, and 200.
The correct answer is
C.
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