Lana completed a 10-mile race in 90 minutes. She ran most of it, but she also walked a little bit. She knows that she usually runs at a pace of 8.5 minutes per mile and usually walks at a pace of 12 minutes per mile. Assuming that she kept these paces during the periods of running and walking during her 10-mile race, how many minutes did she spend running, and how many minutes did she spend walking?
Write the system of equations that represent this scenario.