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12 May 2017, 05:00
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C
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95% (01:25) correct
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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
12 May 2017, 06:16
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Bunuel
Short Method :
13 men have an average wt. of 140 pounds. When 3 men are removed, the average wt. of the remaining 10 becomes 138 .
So we can think of it as, the 3 men took away their own weight which is equal to (average wt x 3 + 2 kg each of 10 people) = 140 x 3 + 2 x 10 = 440
Answer C
Long and calculation intensive method :
13 men have an average wt. of 140 pounds. So total weight = 13 x 140 = 1820
After 3 men left the average wt. was 138 pounds. So total wt. of 10 men = 1380
Difference = 1820 - 1380 = 440
Answer C
12 May 2017, 06:24
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Bunuel
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:
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