Answered

Mark has been watching 16 movies per month for the past x months. Max has been trying to keep up with his pace but has only been able to watch half as many as mark has. Between the two of them they have watched a total of 144 movies. For how many months have they been watching these 144 movies?

Answer :

Answer:

They have been watching these 144 movies for 6 months

Step-by-step explanation:

Answer:

After 6 months, they watched 144 movies.

Step-by-step explanation:

Givens

  • Mark has been watching 16 movies per month.
  • Max has been watching half movies than Mark per month.
  • They have seen 144 movies.

We can represent the number of movies Mark has been watching per month as

[tex]Mark=16x[/tex]

The representation for Max is

[tex]Max=\frac{1}{2}16x=8x[/tex]

Now, we know that they watched 144 movies in [tex]x[/tex] months, so

[tex]16x+8x=144[/tex]

Then, we solve for [tex]x[/tex]

[tex]16x+8x=144\\24x=144\\x=\frac{144}{24}=6[/tex]

Therefore, after 6 months, they watched 144 movies.

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