An employee at a construction company is ordering interior doors for some new houses that are being built. There are 5 one-story houses and 1 two-story house on the west side of the street, which require a total of 60 doors. On the east side, there are 5 one-story houses and 4 two-story houses, which require a total of 90 doors. Assuming that the floor plans for the one-story houses are identical and so are the two-story houses, how many doors does each type of house have?