Baxter Tree Service charges $42 per tree to trim them, and an additional $75.50 to remove the trimmings from the property. His competitor, B

Question

Baxter Tree Service charges $42 per tree to trim them, and an additional $75.50 to remove the trimmings from the property. His competitor, Barron and Son, charges $37 per tree to trim them but charges $95.50 to remove trimmings. How many trees, t, must be trimmed to make the two companies cost the same amount?

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Orla Orla 5 months 2021-08-26T01:32:57+00:00 1 Answers 1 views 0

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    2021-08-26T01:34:47+00:00

    Answer:

    t = 4

    Step-by-step explanation:

    Baxter Tree Service:

    Per tree trimming charges = $42

    Additional charges for removing the trimmings from the property = $75.50

    Number of trees trimmed = t

    Total charges = Additional charges + cost of trimming t trees

    Total charges = $75.50 + $42t

    Barron and Son:

    Per tree trimming charges = $37

    Additional charges for removing the trimmings from the property = $95.50

    Number of trees trimmed = t

    Total charges = Additional charges + cost of trimming t trees

    Total charges = $95.50 + $37t

    Now, the total charges need to be same and we have to find the value of t.

    75.50+42t = 95.50+37t\\\Rightarrow 42t-37t=95.50-75.50\\\Rightarrow 5t=20\\\Rightarrow \bold{t =4}

    t = 4 number of trees must be trimmed.

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