There were 3 associates and 5 partners in the case.
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 (A) is $ 500 and the daily rate for each partner (P) is $ 1000, and the law firm assigned a total of 8 lawyers to the case and was able to charge the client $ 6500 per day for these lawyers' services, to determine the equation that represents the total number of lawyers on the case, and to effectively determine these numbers, the following calculations must be made:
A + P = 8
500A + 1000P = 6500
1000 x 8 = 8000
8000 - 6500 = 1500
1500/500 = 3
3 x 500 + 5 x 1000 = 6500
Therefore, there were 3 associates and 5 partners in the case.
