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25 August, 14:07

Horizon Phone Company charges $16 a month plus 5 cents per text. G-Mobile charges $21 per month with 2 cents per text. At how many texts would the two plans cost the same?

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Answers (2)
  1. 25 August, 15:11
    0
    166.67

    Step-by-step explanation:

    0.05x + 16 = 0.02x + 21

    0.03x = 5

    166.67 = x
  2. 25 August, 16:01
    0
    Answer:167 text messages

    Step-by-step explanation:

    Let x represent the number of text messages sent when either Horizon Phone Company or G-Mobile is used.

    Let y represent the total cost of sending x messages using Horizon Phone Company.

    Let z represent the total cost of sending x messages using G-Mobile.

    Horizon Phone Company charges $16 a month plus 5 cents ($0.05) per text. This means that

    y = 16 + 0.05x

    G-Mobile charges $21 per month with 2 cents (0.02) per text. This means that

    z = 21 + 0.02x

    To determine the number of texts that texts would be sent for the two plans cost the same, we would equate y to z. It becomes

    16 + 0.05x = 21 + 0.02x

    0.05x - 0.02x = 21 - 16

    0.03x = 5

    x = 5/0.03 = 167
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