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Sagot :
Given
Carter and Anna are making presentations for a class project.
Carter's slideshow starts with a verbal introduction that is 13 seconds long, and then each slide is left up for 10 seconds.
Anna leaves each slide onscreen for 6 seconds, and her introduction lasts 17 seconds.
Carter and Anna notice that their presentations have both the same number of slides and the same duration.
To find how long is each presentation and how many slides are in each presentation.
Now,
Let x be the time taken for each presentation and y be the number of slides.
Then, the equations are,
[tex]\begin{gathered} 13+10y=x\text{ \_\_\_\_(1)} \\ 17+6y=x\text{ \_\_\_\_\_(2)} \end{gathered}[/tex]Therefore,
[tex]\begin{gathered} 13+10y=17+6y \\ 10y-6y=17-13 \\ 4y=4 \\ y=1 \end{gathered}[/tex]Substitute y=1 in (1).
Then,
[tex]\begin{gathered} 13+10y=x \\ 13+10\times1=x \\ x=13+10 \\ x=23 \end{gathered}[/tex]Hence, the time taken for each presentation is 23 seconds and the number of slides is 1.
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