Answer:
51 minutes.
Step-by-step explanation:
We have been given that for every 15 minutes of a show, there are two minutes to commercial. At this rate, Leila has seen 45 minutes of a show. We are asked to find the time for which Leila has been watching TV.
We will use proportions to solve our given problem.
[tex]\frac{\text{Minutes of TV show + Advertisement}}{\text{Minutes of TV show}}=\frac{15+2}{15}[/tex]
[tex]\frac{\text{Minutes of TV show + Advertisement}}{\text{Minutes of TV show}}=\frac{17}{15}[/tex]
Upon substituting our given values, we will get:
[tex]\frac{\text{Minutes of TV show + Advertisement}}{45}=\frac{17}{15}[/tex]
[tex]\frac{\text{Minutes of TV show + Advertisement}}{45}\times 45=\frac{17}{15}\times 45[/tex]
[tex]\text{Minutes of TV show + Advertisement}=\frac{17}{1}\times 3[/tex]
[tex]\text{Minutes of TV show + Advertisement}=51[/tex]
Therefore, Leila has been watching TV together for 51 minutes.
