Tavon has a gift card for $ 90 that loses $ 4 for each​ 30-day period it is not used. He has another gift card for $ 80 that loses $ 3.50 fo

Question

Tavon has a gift card for $ 90 that loses $ 4 for each​ 30-day period it is not used. He has another gift card for $ 80 that loses $ 3.50 for each​ 30-day period it is not used. A. Write and solve an equation for the number of​ 30-day periods until the value of the gift cards will be equal. B. What will the value of each card be when they have equal​ value?

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Rose 2 weeks 2021-10-11T16:07:58+00:00 1 Answer 0

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    2021-10-11T16:09:28+00:00

    Answer: it will take twenty 30-day periods until the value of the gift cards will be equal.

    The value of each card be when they have equal​ value is $10

    Step-by-step explanation:

    Let x represent the number of​ 30-day periods until the value of the gift cards will be equal.

    Tavon has a gift card for $90 that loses $4 for each​ 30-day period it is not used. This means that x 30-day periods, the amount left would be

    90 – 4x

    He has another gift card for $ 80 that loses $ 3.50 for each​ 30-day period it is not used. This means that x 30-day periods, the amount left would be

    80 – 3.5x

    For the amounts left in each card to be the same, the number of periods would be

    90 – 4x = 80 – 3.5x

    90 – 80 = – 3.5x + 4x

    10 = 0.5x

    x = 10/0.5

    x = 20

    The value of each card be when they have equal​ value is

    90 – 4 × 20 = 90 – 80

    = $10

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45:7+7-4:2-5:5*4+35:2 =? ( )