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
The system of equation is, used to determine the number of associates assigned to the case and the number of partners assigned to the case.
[tex]700x + 1700y = 21200\\y = x+4[/tex]
Where, x represent the number of associates assigned to the case,
And y represent the number of partners assigned to the case.
The required x = 6 number of associates assigned to the case and y = 10 number of partners assigned to the case.
Given that,
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.
We have to determine,
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.
According to the question,
Let, x represent the number of associates assigned to the case,
And 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
[tex]700x + 1700y = 21200[/tex]
Then,
The law firm assigned 4 more partners than associates to the case.
[tex]y = x +4[/tex]
On solving both the equation,
[tex]700x + 1700y = 21200\\\\y = x+4[/tex]
Substitute the value of x in equation 1 from equation 2,
[tex]700x+1700(x+4) = 21200\\\\700x + 1700x + 6800 = 21200\\\\2400x = 21200 - 6800\\\\2400xc= 14400\\\\x = \dfrac{14400}{2400}\\\\x = 6[/tex]
Substitute the value of y in the equation 2,
[tex]y = 6 + 4\\\\y = 10[/tex]
Hence, The required x = 6 number of associates assigned to the case and y = 10 number of partners assigned to the case.
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https://brainly.com/question/14125284
