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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 $1500. The law firm designated 3 times as many partners as associates to the case and was able to charge the client $14700 per day for these lawyers' services. Determine the number of associates assigned to the case and the number of partners assigned to the case.

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Answer:

The number of associates assigned to the case was 3 and the number of partners assigned to the case was 9.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Daily rate to the client for each associate (y) = US$ 400

Daily rate to the client for each partner (x) = US$ 1,500

3y = x

Lawyers' services per day charged to the client = US$ 14,700

2. Determine the number of associates assigned to the case and the number of partners assigned to the case.

3y = x

1,500x + 400y = 14,700

Replacing x in the 1st equation

1,500(3y) + 400y = 14,700

4,500y + 400y = 14,700

4,900y = 14,700

y = 3 ⇒ x = 9

The number of associates assigned to the case was 3 and the number of partners assigned to the case was 9.

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