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 $1800. The law firm assigned a total of 17 lawyers to the case and was able to charge the client $23600 per day for these lawyers' services. Determine the number of associates assigned to the case and the number of partners assigned to the case.

Question

Mathematics

Sage Cardenas

1 April, 05:44

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 $1800. The law firm assigned a total of 17 lawyers to the case and was able to charge the client $23600 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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Answers (1)

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Alan Dean · Answer 1

Associates=7

Partners=10

Step-by-step explanation:

Let the number of associates be x while partners be y. Since they are a total of 17 then

x+y=17

Therefore, x=17-y

Also considering the charges then

800x+1800y=23600

Subsituting x with 17-y then

800 (17-y) + 1800y=23600

13600-800y+1800y=23600

1000y=10000

Y=10

X=17-y=17-10=7