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The average (arithmetic mean) of the body weights of John, J

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Carcass
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The average (arithmetic mean) of the body weights of John, J [#permalink] New post   06 Dec 2019, 02:17
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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


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Re: The average (arithmetic mean) of the body weights of John, J [#permalink] New post   15 Jan 2020, 08:02
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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


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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
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Re: The average (arithmetic mean) of the body weights of John, J [#permalink] New post   23 Jul 2021, 04:03
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Re: The average (arithmetic mean) of the body weights of John, J [#permalink]
23 Jul 2021, 04:03
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