A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $600

Question

A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1100. The law firm assigned a total of 10 lawyers to the case and was able to charge the client $8000 per day for these lawyers’ services. Determine the number of associates assigned to the case and the number of partners assigned to the case.

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Eva 3 weeks 2021-12-27T17:12:54+00:00 1 Answer 0 views 0

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    2021-12-27T17:14:12+00:00

    Answer:

    The number of associates = 6  

    The number of partners = 4

    Step-by-step explanation:

    let the number of associates = x

    let the number of partners  = y

    The law firm assigned a total of 10 lawyers

    ∴ x + y = 10

    ∴ y = 10 – x ⇒ (1)

    $8000 per day charged for these lawyers, The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1100.

    ∴ 600x + 1100 y = 8000 ⇒ (2)

    Solve (1) and (2) by substitute from (1) at (2)

    600 x + 1100 (10 – x) = 8000

    solve for x:

    600 x + 11000 – 1100 x = 8000

    -500 x = -3000

    x = -3000/-500 = 6

    At (1) to find y

    y = 10 – 6 = 4

    So,

    The number of associates = 6  

    And the number of partners = 4

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