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Two sisters have decided to watch all the episodes of a popular TV show on DVD. Annie has already watched 4 episodes and will continue to watch the show at a rate of 1 episode per day. Abby, who hasn't yet seen the show, will start watching 3 episodes per day. Once the two sisters get to the point where they have watched the same number of episodes, they plan to finish the series together. How long will that take?

Respuesta :

Answer:

2 days

Step-by-step explanation:

Assume that Annie and Abby watched the same number of episodes in [tex]t[/tex] days.

Number of episodes watched by Annie [tex]=4+1(t)=4+t[/tex]

Number of episodes watched by Abby [tex]=3t[/tex]

[tex]4+t=3t\\4=3t-t\\4=2t\\t=2[/tex]

So,

Annie and Abby watched the same number of episodes in [tex]2[/tex] days

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