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12 February, 02:50

A moving Company charges $445 plus $22 per hour. A second company charges $490 plus $19 per hour.

At how many hours will the charges from both companies be the same?

After a certain amount of hours, the two companies will have the same amount of total charges. What is the amount of that charge?

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  1. 12 February, 04:12
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    Answer: it will take 15 hours and the amount of charge would be $775

    Step-by-step explanation:

    Let x represent the number of hours after which, the two companies will have the same amount of total charges.

    A moving Company charges $445 plus $22 per hour. It means that the total amount that this company would charge for x hours is

    22x + 445

    A second company charges $490 plus $19 per hour. It means that the total amount that the second company would charge for x hours is

    19x + 490

    For the total amount charged by both companies to be the same, the number of hours would be

    22x + 445 = 19x + 490

    22x - 19x = 490 - 445

    3x = 45

    x = 45/3

    x = 15 hours

    The amount of that charge is

    19 * 15 + 490

    = 285 + 490

    = $775
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