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In Seattle, the total rainfall in a certain year was 37 inches. From A

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Bunuel
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In Seattle, the total rainfall in a certain year was 37 inches. From A [#permalink] New post   01 Nov 2018, 00:50
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In Seattle, the total rainfall in a certain year was 37 inches. From April to October of that year, the average rainfall was approximately 1.7 inches per month. What was the average rainfall, in inches, for the remaining months of the year?

A. 2
B. 3.1
C. 4
D. 5
E. 7.1
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Re: In Seattle, the total rainfall in a certain year was 37 inches. From A [#permalink] New post   01 Nov 2018, 01:08
Bunuel wrote:
In Seattle, the total rainfall in a certain year was 37 inches. From April to October of that year, the average rainfall was approximately 1.7 inches per month. What was the average rainfall, in inches, for the remaining months of the year?

A. 2
B. 3.1
C. 4
D. 5
E. 7.1


April to October is 7 months ( we are assuming that April to October is inclusive of both the months). So the total rainfall in those 7 months was Average * No. of months i.e = 1.7*7 = 11.9 inches.

The total rainfall in the remainder of 5 months was total for year minus given seven months i.e 37 - 11.9 = 37 - 12 +0.1 = 25.1 inches

So average for the 5 months was 25.1 / 5 ~ 5

Hence Option (D) is our choice.

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Re: In Seattle, the total rainfall in a certain year was 37 inches. From A [#permalink] New post   01 Nov 2018, 01:24
A = Sum/number => x/7 = 1.7 , x=11.9
37 - 11.9 = 25.1/5 =5.02

D.
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Re: In Seattle, the total rainfall in a certain year was 37 inches. From A [#permalink] New post   01 Nov 2018, 01:59
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Bunuel wrote:
In Seattle, the total rainfall in a certain year was 37 inches. From April to October of that year, the average rainfall was approximately 1.7 inches per month. What was the average rainfall, in inches, for the remaining months of the year?

A. 2
B. 3.1
C. 4
D. 5
E. 7.1


Total total rainfall for the year is 37 which is 37/12 = about 3.1 per month
For 7 months, April - Oct, the average is 1.7 so that is a shortfall of 1.4*7 = 9.8
For rest of the 5 months, the average should make up this shortfall by adding 9.8/5 = 2 in every month.
Average rainfall for every month = 3.1 + 2 = 5.1

Answer (D)
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Re: In Seattle, the total rainfall in a certain year was 37 inches. From A [#permalink]
01 Nov 2018, 01:59
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