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Thirteen men have an average (arithmetic mean) weight of 140 pounds. W
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24 Aug 2022, 06:41
24 Aug 2022, 06:41
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Thirteen men have an average (arithmetic mean) weight of 140 pounds. When 3 of the men are removed from the group, the average weight of the remaining men becomes 138 pounds. What is the total weight of the three men?
A. 190
B. 404
C. 440
D. 510
E. 570
A. 190
B. 404
C. 440
D. 510
E. 570
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Re: Thirteen men have an average (arithmetic mean) weight of 140 pounds. W
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24 Aug 2022, 07:15
24 Aug 2022, 07:15
1
Let the sum of weight of all men be w
Given, mean = 140
w/13 = 140
w = 1820
Let the weight of three men removed be x
w-x/10 = 138
Solving for x ,
x = 440
Answer is C
Given, mean = 140
w/13 = 140
w = 1820
Let the weight of three men removed be x
w-x/10 = 138
Solving for x ,
x = 440
Answer is C
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Re: Thirteen men have an average (arithmetic mean) weight of 140 pounds. W
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24 Aug 2022, 08:57
24 Aug 2022, 08:57
1
Carcass wrote:
Thirteen men have an average (arithmetic mean) weight of 140 pounds. When 3 of the men are removed from the group, the average weight of the remaining men becomes 138 pounds. What is the total weight of the three men?
A. 190
B. 404
C. 440
D. 510
E. 570
A. 190
B. 404
C. 440
D. 510
E. 570
Thirteen men have an average (arithmetic mean) weight of 140 pounds.
So, (SUM of all 13 men)/13 = 140
Multiply both sides by 13 to get: SUM of all 13 men = (140)(13) = 1820
When 3 of the men are removed from the group, the average weight of the remaining men becomes 138 pounds.
In other words, the REMAINING 10 men have an average weight of 138 pounds.
So, (SUM of REMAINING 10 men)/10 = 139
Multiply both sides by 10 to get: SUM of REMAINING 10 men = (138)(10) = 1380
Difference in TOTAL weights = 1820 - 1380 = 440
Since the TOTAL weight decreased by 440 pounds, we know that this must be the combined weight of the 3 men who were removed.
Answer: C
