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 $700 and the daily rate for each partner is $1700. The law firm assigned 4 more partners than associates to the case and was able to charge the client $21200 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: the system of equations that could be used are

700x + 1700y = 21200

y = x + 4

Step-by-step explanation:

Let x represent the number of associates assigned to the case.

Let y represent the number of partners assigned to the case.

The daily rate charged to the client for each associate is $700 and the daily rate for each partner is $1700.

The law firm was able to charge the client $21200 per day for these lawyers' services. This mean that

700x + 1700y = 21200 - - - - - - - - - - 1

The law firm assigned 4 more partners than associates to the case. This means that

y = x + 4 - - - - - - - - - - - - - - - - -2