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7 January, 07:26

Faye pays her family phone bill, and Jonathan's family phone bill with her card and jonathan pays her back. If Faye bill is $120.00 dollars more than Jonathan's bill and has 2 more people on her bill than Jonathan. The bill was $600.00, how many people does jonathan have on his bill and how much does he owe Faye?

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  1. 7 January, 08:04
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    Jonathan has to pay Faye back US$ 240

    Jonathan has 4 people on his bill and Faye has 6.

    Step-by-step explanation:

    1. Let's find out the amount of the phone bills, this way:

    Total of the two bills = US$ 600

    Faye's bill = US$ 120 more than Jonathan's

    Jonathan's bill = x

    Solving for x, we can use this equation:

    x + x + 120 = 600

    2x + 120 = 600

    2x = 600 - 120

    2x = 480

    x = 480/2 = 240

    Jonathan has to pay Faye back US$ 240

    2. Let's find out the number of people on each bill, this way:

    Faye has two people more on her bill than Jonathan

    Number of people on Jonathan's bill = x

    Number of people on Faye's bill = x + 2

    We will use the following equation:

    240 * (x + 2) = 360x

    240x + 480 = 360x

    240x - 360x = - 480

    -120x = - 480

    x = - 480/-120

    x = 4 ⇒ x + 2 = 6

    Jonathan has 4 people on his bill and Faye has 6.
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