Question

Devon records 4 hours of reality shows on her DVR she records comedy shows for 3/8 of that amount of time. Devon watches all the reality and comedy shows in half-hour sittings. Find the number of half-hour sittings needed to watch all the shows

Answer 1

The number of half-hour sittings needed to watch all the shows by Devon is 11

Solution:

Given, Devon records 4 hours of reality shows on her DVR

she records comedy shows for 3/8 of that amount of time.

`\rightarrow (3)/(8) \text { of } 4 \text { hours } \rightarrow (3)/(8) * 4 \rightarrow (3)/(2) \text { hours }`

Devon watches all the reality and comedy shows in half-hour sittings.

We have to find the number of half-hour sittings needed to watch all the shows

Now, number of half hour sittings is given as

`=\frac{\text { total time of videos }}{\text { time for hlaf hour sitting }}`

`\begin{array}{l}{=\frac{4 \text { hours for reality shows }+(3)/(2) \text { hours for comedy shows }}{(1)/(2) \text { hours for each sitting }}} \\\\ {=(4+(3)/(2))/((1)/(2))=((8+3)/(2))/((1)/(2))=((11)/(2))/((1)/(2))=(11)/(2) * (2)/(1)=11}\end{array}`

Hence Devon needs 11 sittings