SOLUTION: 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 $500 and the daily rate for each partner is $

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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 $500 and the daily rate for each partner is $      Log On


   

Question 1180269: 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 $500 and the daily rate for each partner is $1000. 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. Determine the number of associates assigned to the case and the number of partners assigned to the case.
Answer by Boreal(15235) About Me  (Show Source):
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A+P=8
500A+1000P=6500
since P=(8-A)
500(A)+1000(8-A)=6500
500A+8000-1000A=6500
-500A=-1500
A=3 associates ($1500)
P=5 partners ($5000)