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For the first 3 months of last year, the average daily rainfall in Lancaster was 6cm. For last year as a whole, the

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by BTGmoderatorDC » Wed Aug 19, 2020 5:02 pm

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For the first 3 months of last year, the average daily rainfall in Lancaster was 6cm. For last year as a whole, the average daily rainfall was 12cm. What was the average daily rainfall for the last 9 months of last year?

A. 14cm
B. 16cm
C. 18cm
D. 24cm
E. 30cm



OA A

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Source: — Problem Solving |

BTGmoderatorDC wrote:
Wed Aug 19, 2020 5:02 pm
For the first 3 months of last year, the average daily rainfall in Lancaster was 6cm. For last year as a whole, the average daily rainfall was 12cm. What was the average daily rainfall for the last 9 months of last year?

A. 14cm
B. 16cm
C. 18cm
D. 24cm
E. 30cm



OA A

Solution:

Let’s assume that each month has exactly 30 days. For the first 3 months, there were 6 x 30 x 3 inches of rainfall, and for the entire year, there were 12 x 30 x 12 inches of rainfall.

Finally, for the last 9 months, the average daily rainfall was:

(12 x 30 x 12 - 6 x 30 x 3)/(30 x 9) = (12 x 12 - 6 x 3)/9 = 126/9 = 14 cm

Answer: A

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