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 $1300. The law firm assigned 3 more partners than associates to the case and was able to charge the client $12300 per day for these lawyers services write a system of equations that could be used to determine the number of associate 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

The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate 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,

Per day charge of each associate = $800

Per day charge of each partner = $1300

Total charged per day = $12300

Let,

x be the number of associates

y be the number of partners

According to given statement;

800x+1300y=12300        Eqn 1

y = x+3              Eqn 2

The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate 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 2

The system of equations used to determine x and y is -x + y = 3 and 800x + 1300y = 12300.

Let x represent the number of associate and y represent the number of partners.

The law firm assigned 3 more partners than associates to the case, hence:

y = x + 3

-x + y = 3    (1)

The charge per day is $12300, hence:

800x + 1300y = 12300    (2)

Hence solving equation 1 and 2 simultaneously gives x = 4, y = 7

Hence the system of equations used to determine x and y is -x + y = 3 and 800x + 1300y = 12300.

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