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 $800 and the daily rate for each
partner is $1800. The law firm designated twice as many partners as associates to the
case and was able to charge the client $17600 per day for these lawyers' services.
Write a system of equations that could be used to determine the number of associates
assigned to the case and the number of partners assigned to the case. Define the
variables that you use to write the system.

Answer 1

Answer:

Associates=7

Partners=10

Explanation:

Let the number of associates be x while partners be y. Since they are a total of 17 then

x+y=17

Therefore, x=17-y

Also considering the charges then

800x+1800y=23600

Subsituting x with 17-y then

800(17-y)+1800y=23600

13600-800y+1800y=23600

1000y=10000

Y=10

X=17-y=17-10=7