Carcass wrote:
The average (arithmetic mean) of the body weights of John, Jack, Bill, Mark, and Tom is at least 170 pounds. John, Jack, and Bill weigh 140, 160, and 180 pounds, respectively. If Mark weighs between 160 and 180 pounds, inclusive, what is the least possible weight, in pounds, of Tom?
A. 180
B. 190
C. 200
D. 210
E. 220
Kudos for the right answer and explanation
Since, all boys have at-least \(170\) pounds, therefore sum of all 5 boys weights = \(170 * 5 = 850\)
If TOM's weight is to minimize, we need to maximize Mark's weight.
Mark's weight = \(180\) pounds
Therefore, Tom's least possible weight, in pounds = \(850 - ( 140 + 160 + 180 + 180) = 190\)
Option B