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.

There were ____associates assigned to the case and ____
partners assigned to the case.

Answer 1

There were 6 associates and 4 partners assigned to the case.

Explanation:

Since a law firm is going to designate associates and partners to a big new case, and the daily rate charged to the client for each associate is $ 600 and the daily rate for each partner is $ 1100, if 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, to determine the number of associates assigned to the case and the number of partners assigned to the case, the following calculation must be performed:

1100 - 600 = 500

600 x 10 = 6,000

8,000 - 6,000 = 2,000

2,000 / 500 = 4

10 - 4 = 6

(1100 x 4) + (600 x 6) = X

4,400 + 3,600 = X

8,000 = X

Thus, the law firm assigned 4 partners and 6 associates to the case.