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.