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mash
1 month ago
14

A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ

ate is $700 and the daily rate for each partner is $1500. The law firm assigned a total of 11 lawyers to the case and was able to charge the client $14100 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.
Mathematics
1 answer:
babunello [11.8K]1 month ago
8 0

Response:

Each associate incurs a cost of $700 daily for the client, meaning that 'a' associates will cost the client 700a dollars each day. For each partner, the charge is $1500 daily, so 'p' partners will accumulate a cost of 1500p dollars daily. The cumulative bill amounts to 700a + 1500p = $14100:

700a + 1500p = 14100

700a + 1500p = 14100

Given that there are a total of 11 lawyers assigned (associates and partners), the equation a + p must equal 11.

a + p = 11

a + p = 11

\underline{\text{Formulate System of Equations:}}

Formulate System of Equations:

​

700a + 1500p =

700a + 1500p = 14100

14100

a + p = 11

11

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