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 $600 and the daily rate for each partner is $1300. The law firm assigned a total of 9 lawyers to the case and was able to charge the client $8900 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.

Respuesta :

x+y=9 and 600x+1300y=6800 could be used to determine the number of associates assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partners.

Step-by-step explanation:

Given,

Daily rate of each associate = $600

Daily rate of each partner = $1300

Number of lawyers assigned = 9

Total per day cost = $8900

Let,

x represent the number of associates assigned

y represent the number of partners assigned

According to given statement;

x+y=9     Eqn 1

600x+1300y=6800   Eqn 2

x+y=9 and 600x+1300y=6800 could be used to determine the number of associates assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partners.

Keywords: linear equation, addition

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Answer:

600a+1300p=8900

a+p=9

Step-by-step explanation:

Let a=the number of associates designated

Let p=the number of partners designated

System of Equations:

600a+1300p=8900

a+p=9