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 $600 and the daily rate for each partner is $1100. The law firm assigned a total of 10 lawyers to the case and was able to charge the client $8000 per day for these lawyers' services. Determine the number of associates assigned to the case and the number of partners assigned to the case.

The number of associates assigned to the case and the number of partners assigned to the case is 6 and 4.

Given that,

Based on the above information, the calculation is as follows:

x +  y = 10

x = 10 - y

Now put the value of x in the below equation

600x + 1100y = 8,000

600 (10 - y) + 1100y = 8000

6000 - 600y  + 1100y = 8000

2000 = 500y

y = 4

So x = 10 - 4

= 6

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The number of associates = 6  

The number of partners = 4

Step-by-step explanation:

let the number of associates = x

let the number of partners  = y

The law firm assigned a total of 10 lawyers

∴ x + y = 10

∴ y = 10 - x ⇒ (1)

$8000 per day charged for these lawyers, The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1100.

∴ 600x + 1100 y = 8000 ⇒ (2)

Solve (1) and (2) by substitute from (1) at (2)

600 x + 1100 (10 - x) = 8000

solve for x:

600 x + 11000 - 1100 x = 8000

-500 x = -3000

x = -3000/-500 = 6

At (1) to find y

y = 10 - 6 = 4

So,

The number of associates = 6  

And the number of partners = 4

it is x=-4

step-by-step explanation: