Question

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 $400 and the daily rate for each partner is $900. the law firm designated twice as many partners as associates to the case and was able to charge the client $4400 per day for these lawyers services. determine the number of associates assigned to the case and the number of partners assigned to the case.
answer attempt 1 out of 2
there were \boxed{} associates assigned to the case and \boxed{} partners assigned to the case.

Explanation:

Step1: Define variables

Let $x$ = number of associates, $2x$ = number of partners

Step2: Set up cost equation

$400x + 900(2x) = 4400$

Step3: Simplify the equation

$400x + 1800x = 4400$
$2200x = 4400$

Step4: Solve for x

$x = \frac{4400}{2200} = 2$

Step5: Find number of partners

Number of partners = $2x = 2\times2 = 4$

Answer:

There were 2 associates assigned to the case and 4 partners assigned to the case.