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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