Question

Hakim and Kimberly are making presentations for a class project. Hakim's slideshow starts with a verbal introduction that is 19 seconds long, and then each slide is left up for 3 seconds. Kimberly leaves each slide onscreen for 4 seconds, and her introduction lasts 6 seconds. Hakim and Kimberly notice that their presentations have both the same number of slides and the same duration. How long is each presentation? How many slides are in each presentation?

Answer 1

Each presentation is 58 seconds long and has 13 slides

Step-by-step explanation:

For Hakim:

introduction = 19 seconds

Each slide duration = 3 seconds

let the number of slides = s

Total duration for the presentation = introduction + Each slide duration(numer of slides)

Total duration for the presentation = 19 + 3s

For Kimberly:

introduction = 6 seconds

Each slide duration = 4 seconds

since the number of slides is the same for both Hakim and Kimberly,

number of slides = s

Total duration for the presentation = introduction + Each slide duration(numer of slides)

Total duration for the presentation = 6 + 4s

We are told the duration of the presentation is the same for both of them.

As a result, we will equate both duration of the presentation:

19 + 3s = 6 + 4s

collect like terms:

19 - 6 = 4s - 3s

13 = s

This means the number of slides for each of them is 13 slides

To get the duration of the presentation, we will substitute for s in any of the equation:

Total duration for the presentation = 19 + 3(13)

Total duration for the presentation = 58 seconds

Each presentation is 58 seconds long and has 13 slides