Let's denote the number of partners assigned to the case as $ P $ and the number of associates assigned to the case as $ A $.

According to the problem, the law firm designated 3 times as many associates as partners. Therefore, we can write:
$$ A = 3P $$

The daily rate charged to the client for each associate is $500, and for each partner, it is $1400. The total daily charge to the client is $5800. Therefore, we can write the equation for the total daily charge as:
$$ 500A + 1400P = 5800 $$

Now, we substitute $ A = 3P $ into the total daily charge equation:
$$ 500(3P) + 1400P = 5800 $$

Simplify the equation:
$$ 1500P + 1400P = 5800 $$
$$ 2900P = 5800 $$

Solve for $ P $:
$$ P = \frac{5800}{2900} $$
$$ P = 2 $$

Now, substitute $ P = 2 $ back into the equation $ A = 3P $ to find $ A $:
$$ A = 3(2) $$
$$ A = 6 $$

Therefore, the number of associates assigned to the case is 6, and the number of partners assigned to the case is 2.

Question

Let's denote the number of partners assigned to the case as $ P $ and the number of associates assigned to the case as $ A $.

According to the problem, the law firm designated 3 times as many associates as partners. Therefore, we can write:
$$ A = 3P $$

The daily rate charged to the client for each associate is $500, and for each partner, it is $1400. The total daily charge to the client is $5800. Therefore, we can write the equation for the total daily charge as:
$$ 500A + 1400P = 5800 $$

Now, we substitute $ A = 3P $ into the total daily charge equation:
$$ 500(3P) + 1400P = 5800 $$

Simplify the equation:
$$ 1500P + 1400P = 5800 $$
$$ 2900P = 5800 $$

Solve for $ P $:
$$ P = \frac{5800}{2900} $$
$$ P = 2 $$

Now, substitute $ P = 2 $ back into the equation $ A = 3P $ to find $ A $:
$$ A = 3(2) $$
$$ A = 6 $$

Therefore, the number of associates assigned to the case is 6, and the number of partners assigned to the case is 2.

Knowee AI · Accepted Answer

Let's denote the number of partners assigned to the case as $ P $ and the number of associates assigned to the case as $ A $.

According to the problem, the law firm designated 3 times as many associates as partners. Therefore, we can write:
$$ A = 3P $$

The daily rate charged to the client for each associate is $500, and for each partner, it is $1400. The total daily charge to the client is $5800. Therefore, we can write the equation for the total daily charge as:
$$ 500A + 1400P = 5800 $$

Now, we substitute $ A = 3P $ into the total daily charge equation:
$$ 500(3P) + 1400P = 5800 $$

Simplify the equation:
$$ 1500P + 1400P = 5800 $$
$$ 2900P = 5800 $$

Solve for $ P $:
$$ P = \frac{5800}{2900} $$
$$ P = 2 $$

Now, substitute $ P = 2 $ back into the equation $ A = 3P $ to find $ A $:
$$ A = 3(2) $$
$$ A = 6 $$

Therefore, the number of associates assigned to the case is 6, and the number of partners assigned to the case is 2.

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