I NEED HELP WITH THIS ALGEBRA QUSETION

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 $500 and the daily rate for each partner is $1400. The law firm designated 3 times as many associates as partners to the case and was able to charge the client $5800 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 1

Let x be the number of partners assigned to the case.

Then 3x is the number of associates assigned to the case.

Daily Revenue from associates = 500*(3x) = 1500x

Daily Revenue from partners =1400x

Total daily revenue from the case:

1500x + 1400x = 2900x = 5800

Divide both sides by 2900:

x = 2

3x = 3*2 = 6

So, there are 2 partners and 6 associates assigned to the case.