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If Simone scored a, b, and c points on her first three quizzes of the

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If Simone scored a, b, and c points on her first three quizzes of the [#permalink]

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New post 21 Dec 2017, 03:17
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If Simone scored a, b, and c points on her first three quizzes of the semester, then had an average of d points for the next p quizzes, and then scored f points on the last quiz, what is Simone's average score for all the quizzes?

A. (a + b + c + dp + f)/(4 + p)

B. (a + b + c + d + f)/(3 + p)

C. (a + b + c + f + 4d)/(4p)

D. (a + b + c)/3 + d + f

E. (a + b + c + dp + f)/p
[Reveal] Spoiler: OA

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Re: If Simone scored a, b, and c points on her first three quizzes of the [#permalink]

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New post 21 Dec 2017, 05:31
Bunuel wrote:
If Simone scored a, b, and c points on her first three quizzes of the semester, then had an average of d points for the next p quizzes, and then scored f points on the last quiz, what is Simone's average score for all the quizzes?

A. (a + b + c + dp + f)/(4 + p)

B. (a + b + c + d + f)/(3 + p)

C. (a + b + c + f + 4d)/(4p)

D. (a + b + c)/3 + d + f

E. (a + b + c + dp + f)/p



Sum of her scores in p puzzles = d*p

First quiz score = a points
Second quiz score = b points
third quiz score = c points
LAST quiz score = f points

Total Score of all quizzes = (a+b+c+d*p+f)
Total Puzzles = 1+1+1+p+1 = p+4

Average of all quizzes = Sum/number of quizzes = (a+b+c+d*p+f)/(4+p)

Answer: OPTION A
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Re: If Simone scored a, b, and c points on her first three quizzes of the [#permalink]

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New post 21 Dec 2017, 09:50
Bunuel wrote:
If Simone scored a, b, and c points on her first three quizzes of the semester, then had an average of d points for the next p quizzes, and then scored f points on the last quiz, what is Simone's average score for all the quizzes?

A. (a + b + c + dp + f)/(4 + p)

B. (a + b + c + d + f)/(3 + p)

C. (a + b + c + f + 4d)/(4p)

D. (a + b + c)/3 + d + f

E. (a + b + c + dp + f)/p


Since we're asked to calculate a simple average and are given all the information we need, we'll just calculate it! (This is a Precise approach).

Simone has taken a total of 3 + p + 1 quizzes (first 3 + p + last)
We'll sum her scores over all the quizzes: a + b + c + pd + f.
Then her average score is (a + b + c + pd + f) / (4 + p)

(A) is our answer.
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Re: If Simone scored a, b, and c points on her first three quizzes of the   [#permalink] 21 Dec 2017, 09:50
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