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.

$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

andromache andromache · Answer 2 · 2021-12-16T11:46:51+01:00

The number of associates assigned to the case and the number of partners assigned to the case is 6 and 4.

Given that,

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.
Here we assume number of associate be x and no of partners be y.

Based on the above information, the calculation is as follows:

x + y = 10

x = 10 - y

Now put the value of x in the below equation

600x + 1100y = 8,000

600 (10 - y) + 1100y = 8000

6000 - 600y + 1100y = 8000

2000 = 500y

y = 4

So x = 10 - 4

= 6

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