Write System of Equations from Context

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.

I need

Let ___ = ________

Let ___ = ________

System of equations

________________

_______________

Answer 1

P = 4+A

700A + 1700P = 21,200

A= number of associates

P = number of partners

700A + 1700(4+A) = 21200

700A + 1700A + 6800= 21200

7A + 17A + 68 = 212

24A = 212 - 68 = 144

A = 144/24 = 6 associates

P = 4+6 = 10 partners

75A = 212

A = 212/75 =