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.