Eastern University had the following transactions at the beginning of its academic year: 1. Student tuition and fees were billed in the amount of $8,100,000. Of that amount $5,500,000 was collected in cash. 2. Pell Grants in the amount of $2,250,000 were received by the university. 3. The Pell Grants were applied to student accounts. 4. Student scholarships, for which no services were required, amounted to $450,000. These were applied to student tuition bills at the beginning of each semester. Required: Prepare journal entries to record the above transactions assuming: a. Eastern University is a public university. b. Eastern University is a private university.