This is a fairly easy problem. The annulus is 10,000 ft of 10 ppg mud which weighs in at 5,200 psi.
The drillpipe has three layers: 4,000 ft of 8 ppg (1,664 psi), 4,000 ft 9 ppg (1,872 psi), and 2,000 ft 10 ppg mud for a total 4,576 psi. Thus we need another 625 psi for pressure balance.
This problem is easy, but hey not every problem can be hard.
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