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# Last year Bakery A had a total sale of cookies in December that was 4

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08 Jan 2018, 01:05
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Difficulty:

25% (medium)

Question Stats:

70% (01:17) correct 30% (01:42) wrong based on 85 sessions

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Last year Bakery A had a total sale of cookies in December that was 4 times the average (arithmetic mean) of the monthly cookie sales totals for January through November. The cookie sales total for December was what fraction of the total cookie sales for the year?

A. 1/4
B. 4/15
C. 1/3
D. 4/11
E. 4/5

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Re: Last year Bakery A had a total sale of cookies in December that was 4  [#permalink]

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08 Jan 2018, 01:39
Let the average cookie sales for the 11 months be x. The average for December alone is 4x. Total cookie sales of the first 11 month is 11x. Hence for the year total is 11x+4x=15x. Hence the required fraction is 4x/15x =4/15. Option B

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Re: Last year Bakery A had a total sale of cookies in December that was 4  [#permalink]

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08 Jan 2018, 01:49
1
Bunuel wrote:
Last year Bakery A had a total sale of cookies in December that was 4 times the average (arithmetic mean) of the monthly cookie sales totals for January through November. The cookie sales total for December was what fraction of the total cookie sales for the year?

A. 1/4
B. 4/15
C. 1/3
D. 4/11
E. 4/5

let 11x be the sales from Jan to Nov
December: Total Yearly Sales :: 4x:11x+4x = 4/15
B
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Re: Last year Bakery A had a total sale of cookies in December that was 4  [#permalink]

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08 Jan 2018, 11:38
Bunuel wrote:
Last year Bakery A had a total sale of cookies in December that was 4 times the average (arithmetic mean) of the monthly cookie sales totals for January through November. The cookie sales total for December was what fraction of the total cookie sales for the year?

A. 1/4
B. 4/15
C. 1/3
D. 4/11
E. 4/5

Let the average sale of cookies for the month of January through November be 1

So, Total Sale of cookies for the month of January through November is 11

Sale in December is 4

Quote:
The cookie sales total for December was what fraction of the total cookie sales for the year?

Sale of December is $$\frac{4}{11 + 4}$$ = $$\frac{4}{15}$$ of the total cookie sales for the year, answer will be (B)
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Re: Last year Bakery A had a total sale of cookies in December that was 4   [#permalink] 08 Jan 2018, 11:38
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