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Ken received grades of 90, 88, and 75 on three tests. What grade must
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17 Oct 2020, 09:00
17 Oct 2020, 09:00
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Difficulty:
15%
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Question Stats:
89% (01:00) correct
11%
(00:57)
wrong
based on 28
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Ken received grades of 90, 88, and 75 on three tests. What grade must he receive on the next test so that his average for these 4 tests is 85?
(A) 83
(B) 85
(C) 87
(D) 88
(E) 92
(A) 83
(B) 85
(C) 87
(D) 88
(E) 92
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Re: Ken received grades of 90, 88, and 75 on three tests. What grade must
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17 Oct 2020, 13:23
17 Oct 2020, 13:23
Top Contributor
Bunuel wrote:
Ken received grades of 90, 88, and 75 on three tests. What grade must he receive on the next test so that his average for these 4 tests is 85?
(A) 83
(B) 85
(C) 87
(D) 88
(E) 92
(A) 83
(B) 85
(C) 87
(D) 88
(E) 92
\(Averages = \frac{Sum \space of \space Observations}{Total \space Observations}\)
Let the 4th value be x
Then \(\frac{90 + 88 + 75 + x}{4} = 85\)
253 + x = 85*4
x = 340 - 253 = 87
Option C
Arun Kumar
Re: Ken received grades of 90, 88, and 75 on three tests. What grade must
[#permalink]
17 Oct 2020, 20:53
17 Oct 2020, 20:53
Bunuel wrote:
Ken received grades of 90, 88, and 75 on three tests. What grade must he receive on the next test so that his average for these 4 tests is 85?
(A) 83
(B) 85
(C) 87
(D) 88
(E) 92
(A) 83
(B) 85
(C) 87
(D) 88
(E) 92
In order the average for grades in 4 tests be equal to 85, the sum of grades in these 4 tests must be 85*4=340. Sum of the grades in the first 3 tests is 90+88+75=253. Then, in 4th test Ken must receive 340-253=87. C)
