Problem solving question?

I hate cats. It seems as though cats hate me too. I wonder why. My neighbor Elinor loves cats. She seems to attract them in bunches, especially alley cats, tabby cats, and Manx cats. She already had three alleys, five tabbies, and two Manx cats when more of each kind of cat began to show up on her doorstep in March. The alley cats showed up first, on the first month. That is, one alley showed up on the first, and one new alley cat showed up everyday for the rest of the month. The tabby cats began to show up on the fourth. Two showed up on the fourth, and two new ones showed up every day for the rest of the month. Not to be outdone, the Manx cats showed up on the sixth. Four of them came on the sixth, and four new ones came every day for the rest of the month. How many cats did Elinor have at the end of the month?