Two sisters have decided to watch all the episodes of a popular TV show on DVD. Leah has already watched 5 episodes and will continue to watch the show at a rate of 2 episodes per day. Sophia, 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 many episodes were each sister and have watched How many episodes each watch that at that point?

Step-by-step explanation:

Let x represent the point or number of days it would take them to watch the same number of episodes.

Leah has already watched 5 episodes and will continue to watch the show at a rate of 2 episodes per day. This means that the number of episodes that Leah would have watched after x days is expressed as

2x + 2

Sophia, Who hasn't yet seen the show, will start watching 3 episodes per day. This means that the number of episodes that Sophia would have watched after x days is expressed as 3x

For the number of episodes to be the same, the number of days would be

3x = 2x + 2

3x - 2x = 2

x = 2

At this point, the number of episodes that each would have watched is

3 × 2 = 6 episodes

452,489 to the nearest thousand is 452,000

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step-by-step