Question

Samantha is measuring the snowfall in a snow Gog for her science project. The first week she measured 3 3/4 inches of snow the second week she measured twice as much snow, and the third weekShe measured half as much snow as the first week. It did not snow at all in the fourth week. How much snowfall did Samantha measure for the entire month? Explain

Answer 1

`(105)/(8)` inches of snowfall measured for entire month

Solution:

Given that first week she measured
`3(3)/(4)` inches of snow

Second week she measured twice as much snow, and the third week she measured half as much snow as the first week

It did not snow at all in the fourth week

To find: Amount of snowfall measured for entire month

First week:

`\text{ first week } = 3(3)/(4) = \frca{4 * 3 + 3}{4} = (15)/(4) inches`

Second week:

She measured twice as much snow as the first week

`\text{ second week } = 2 * (15)/(4) = (15)/(2) inches`

Third week:

The third week She measured half as much snow as the first week

`\text{ third week } = (1)/(2) * (15)/(4) = (15)/(8) inches`

Fourth week:

It did not snow at all in the fourth week

fourth week = 0

Total snowfall for entire month:

Total snowfall = first week + second week + third week + fourth week

`\rightarrow (15)/(4) + (15)/(2) + (15)/(8) + 0\\\\\rightarrow 15((1)/(4) + (1)/(2) + (1)/(8) )\\\\\rightarrow 15((2+4+1)/(8))\\\\\rightarrow 15 * (7)/(8) = (105)/(8)`

Therefore
`(105)/(8)` inches of snowfall measured for entire month