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The bottom part that is hiding says system of equations

The bottom part that is hiding says system of equations-example-1
User Koschei
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1 Answer

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23 votes

Let x be the number of associates designated.

Let y be the number of partners designated.

If there are a total of 13 lawyers assigned to the case, then this represents the sum of associates and partners:


x+y=13...(1)

Additionally, we know that the daily rate charged to the client for each associate is $400 and the daily rate for each partner is $1000. Then, the daily rate for all associates is 400x and the daily rate for all partners is 1000y. Knowing that the total daily charge to the client is $8800, then:


400x+1000y=8800

This equation can be simplified. Dividing by 200 on both sides:


2x+5y=44...(2)

From (1) and (2), the system of equations is:


\begin{cases}x+y={13} \\ 2x+5y={44}\end{cases}

User Corylulu
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