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When Dahlia’s professor eliminated the lowest of her 4 quiz
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10 Mar 2019, 10:39
10 Mar 2019, 10:39
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When Dahlia’s professor eliminated the lowest of her 4 quiz scores, her quiz average rose from 77 to 91. What was the score of the quiz that the professor eliminated?
A. 14
B. 21
C. 35
D. 42
E. 56
A. 14
B. 21
C. 35
D. 42
E. 56
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When Dahlia’s professor eliminated the lowest of her 4 quiz
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10 Mar 2019, 13:03
10 Mar 2019, 13:03
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Carcass wrote:
When Dahlia’s professor eliminated the lowest of her 4 quiz scores, her quiz average rose from 77 to 91. What was the score of the quiz that the professor eliminated?
A. 14
B. 21
C. 35
D. 42
E. 56
A. 14
B. 21
C. 35
D. 42
E. 56
Let L = Dahlia's lowest score.
Let a, b, and c = the other scores
With all 4 scores considered, Dahlia's average is 77
We can write: (a + b + c + L)/4 = 77
Multiply both sides by 4 to get: a + b + c + L = 308
With only the 3 TOP scores considered, Dahlia's average is 91
We can write: (a + b + c)/3 = 91
Multiply both sides by 3 to get: a + b + c = 273
What was the score of the quiz that the professor eliminated?
In other words, what is the value of L?
So, far, we have two equations:
a + b + c + L = 308
a + b + c = 273
Take the TOP equation and replace a + b + c with 273 to get: 273 + L = 308
Subtract 273 from both sides to get: L = 35
Answer: C
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Re: When Dahlia’s professor eliminated the lowest of her 4 quiz
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14 Mar 2021, 07:34
14 Mar 2021, 07:34
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