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

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