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15 April, 15:57

Rossi is upgrading his cell phone in monthly service plan. Triax offers a new phone for $50 and a limited service for a monthly fee of $40. Cellular offers a new phone and unlimited service for a monthly fee of $50. After how many months will the cost of the two phones in monthly service fees be the same?

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  1. 15 April, 17:15
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    5 months

    Step-by-step explanation:

    Let n be the number of months.

    1. Triax offers a new phone for $50 and a limited service for a monthly fee of $40. Then the phone will cost

    $50+$40·n.

    2. Cellular offers a new phone and unlimited service for a monthly fee of $50. Then the phone will cost

    $50·n.

    Equate these to amounts:

    50+40n=50n,

    50=50n-40n,

    50=10n,

    10n=50,

    n=50:10,

    n=5.
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