Respuesta :
[tex]\frac{105}{8}[/tex] inches of snowfall measured for entire month
Solution:
Given that first week she measured [tex]3\frac{3}{4}[/tex] 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:
[tex]\text{ first week } = 3\frac{3}{4} = \frca{4 \times 3 + 3}{4} = \frac{15}{4} inches[/tex]
Second week:
She measured twice as much snow as the first week
[tex]\text{ second week } = 2 \times \frac{15}{4} = \frac{15}{2} inches[/tex]
Third week:
The third week She measured half as much snow as the first week
[tex]\text{ third week } = \frac{1}{2} \times \frac{15}{4} = \frac{15}{8} inches[/tex]
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
[tex]\rightarrow \frac{15}{4} + \frac{15}{2} + \frac{15}{8} + 0\\\\\rightarrow 15(\frac{1}{4} + \frac{1}{2} + \frac{1}{8} )\\\\\rightarrow 15(\frac{2+4+1}{8})\\\\\rightarrow 15 \times \frac{7}{8} = \frac{105}{8}[/tex]
Therefore [tex]\frac{105}{8}[/tex] inches of snowfall measured for entire month
