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 $500 and the daily rate for each partner is $1000. The law firm assigned a total of 8 lawyers to the case and was able to charge the client $6500 per day for these lawyers' services. Determine the number of associates assigned to the case and the number of partners assigned to the case.

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joaobezerra joaobezerra · Answer 1 · 2022-09-09T18:25:38+02:00

Using a system of equations, it is found that there were 3 associates and 5 partners assigned to the case.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

The firm assigned a total of 8 lawyers to the case, hence:

x + y = 8

x = 8 - y.

The firm was able to charge the client $6500 per day for these lawyers' services, hence, considering the costs:

500x + 1000y = 6500.

Since x = 8 - y, we have that:

500(8 - y) + 1000y = 6500.

500y = 2500

y = 5.

x = 8 - 5 = 3.

The firm assigned 3 associates and 5 partners to the case.

More can be learned about a system of equations at https://brainly.com/question/24342899

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