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Susan has an average of 86 in three examinations. What grade must she

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Susan has an average of 86 in three examinations. What grade must she  [#permalink]

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New post 01 Mar 2018, 00:44
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Question Stats:

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Susan has an average of 86 in three examinations. What grade must she receive on her next test to raise her average to 88?

(A) 94

(B) 90

(C) 92

(D) 100

(E) 96

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Re: Susan has an average of 86 in three examinations. What grade must she  [#permalink]

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New post 01 Mar 2018, 01:28
Bunuel wrote:
Susan has an average of 86 in three examinations. What grade must she receive on her next test to raise her average to 88?

(A) 94

(B) 90

(C) 92

(D) 100

(E) 96


Let the grade in the fourth test be x

\(\frac{86*3 + x}{4} = 88\) --> x = \(88*4 - 86*3 = 352 - 258 = 94\)

Therefore, Susan scored a 94(Option A) in her next test.

Alternate approach
In the first three tests, she scores \(2*3 = 6\) less than the average.

Therefore, Susan would have scored \(88 + 6 = 94\) in her last test!
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Susan has an average of 86 in three examinations. What grade must she  [#permalink]

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New post 01 Mar 2018, 01:53
Bunuel wrote:
Susan has an average of 86 in three examinations. What grade must she receive on her next test to raise her average to 88?

(A) 94

(B) 90

(C) 92

(D) 100

(E) 96


New required average-Old avg= 88-86=2
This number 2 has to be added to all four test scores to get the required avg 2*4=8
required test score = 86+8=94.
ANS A
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Re: Susan has an average of 86 in three examinations. What grade must she  [#permalink]

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New post 01 Mar 2018, 02:25
Bunuel wrote:
Susan has an average of 86 in three examinations. What grade must she receive on her next test to raise her average to 88?

(A) 94

(B) 90

(C) 92

(D) 100

(E) 96


in three exams susan has average of 86.
total: 86*3=258
he want to up his average to 88 in 4 exams.
total: 4*88=352
difference= 352-258=94
thus he has to secure 94 in 4th exam in order to keep his average grade 88 in total 4 exams.
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Re: Susan has an average of 86 in three examinations. What grade must she  [#permalink]

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New post 03 Mar 2018, 04:02
Bunuel wrote:
Susan has an average of 86 in three examinations. What grade must she receive on her next test to raise her average to 88?

(A) 94

(B) 90

(C) 92

(D) 100

(E) 96

IMO A
total of 3 tests= 3*86=258
258+x/4=88 (where x is new score in next exam)
88*4-258=x
352-258=x
94=x
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Re: Susan has an average of 86 in three examinations. What grade must she &nbs [#permalink] 03 Mar 2018, 04:02
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