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The five offensive linemen on a football team weigh 293, 310, 304, 321
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Updated on: 07 Aug 2023, 22:24
Updated on: 07 Aug 2023, 22:24
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Question Stats:
90% (02:43) correct
9% (01:43) wrong based on 11 sessions
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The five offensive linemen on a football team weigh 295, 310, 304, 321, and 298 pounds, respectively. When the heaviest lineman is injured and replaced by a teammate, the average weight of the five linemen drops by 2 pounds. What is the range of the weights of the new group of five linemen?
(A) 10
(B) 15
(C) 16
(D) 24
(E) 26
(A) 10
(B) 15
(C) 16
(D) 24
(E) 26
Re: The five offensive linemen on a football team weigh 293, 310, 304, 321
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24 Jan 2023, 06:17
24 Jan 2023, 06:17
Expert Reply
OE
If the replacement of one player by another lowers the average weight by 2 pounds, you can conclude that the sum of the 5 weights must have dropped by 2 x 5, which equals 10. This is because the average equals the sum divided by the number of terms.
Based on the 10-pound drop in total weight, you can further conclude that the heaviest lineman, who weighed 321 pounds, must have been replaced by a teammate who weighs 311 pounds and is now the heaviest of the group. The range of weights is found by subtracting the weight of the lightest lineman (295 pounds) from 311:
311 - 295 = 16.
If the replacement of one player by another lowers the average weight by 2 pounds, you can conclude that the sum of the 5 weights must have dropped by 2 x 5, which equals 10. This is because the average equals the sum divided by the number of terms.
Based on the 10-pound drop in total weight, you can further conclude that the heaviest lineman, who weighed 321 pounds, must have been replaced by a teammate who weighs 311 pounds and is now the heaviest of the group. The range of weights is found by subtracting the weight of the lightest lineman (295 pounds) from 311:
311 - 295 = 16.
Re: The five offensive linemen on a football team weigh 293, 310, 304, 321
[#permalink]
07 Aug 2023, 19:08
07 Aug 2023, 19:08
1
Carcass wrote:
OE
If the replacement of one player by another lowers the average weight by 2 pounds, you can conclude that the sum of the 5 weights must have dropped by 2 x 5, which equals 10. This is because the average equals the sum divided by the number of terms.Based on the 10-pound drop in total weight, you can further conclude that the heaviest lineman, who weighed 321 pounds, must have been replaced by a teammate who weighs 311 pounds and is now the heaviest of the group. The range of weights is found by subtracting the weight of the lightest lineman (295 pounds) from 311: 311 - 295 = 16.
If the replacement of one player by another lowers the average weight by 2 pounds, you can conclude that the sum of the 5 weights must have dropped by 2 x 5, which equals 10. This is because the average equals the sum divided by the number of terms.Based on the 10-pound drop in total weight, you can further conclude that the heaviest lineman, who weighed 321 pounds, must have been replaced by a teammate who weighs 311 pounds and is now the heaviest of the group. The range of weights is found by subtracting the weight of the lightest lineman (295 pounds) from 311: 311 - 295 = 16.
Dear Sir,
I think there's a typo in the question stem. According to the question stem, the weight of the lightest lineman is 293. Can you please recheck?
