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 $800 and the daily rate for each partner is $1800. The law firm assigned a total of 17 lawyers to the case and was able to charge the client $23600 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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iwillanswer iwillanswer · Answer 1 · 2020-03-15T02:12:16+01:00

Solution:

Let "x" be the number of associates assigned to case

Let "y" be the number of partners assigned to the case

The law firm assigned a total of 17 lawyers to the case

Therefore,

x + y = 17

x = 17 - y --------- eqn 1

daily rate charged to the client for each associate is $800

daily rate for each partner is $1800

They was able to charge the client $23600 per day for these lawyers' services

Therefore,

800x + 1800y = 23600 ------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

800(17 - y) + 1800y = 23600

13600 - 800y + 1800y = 23600

1000y = 23600 - 13600

1000y = 10000

Divide both sides by 1000

Substitute y = 10 in eqn 1

x = 17 - 10

Thus 7 associates and 10 partners were assigned