Question

a college dormitory houses 400 students. those who watch an hour or more of television on any day always watch for less than an hour the next day. one-fourth of those who watch television for less than an hour one day will watch an hour or more the next day. half of the students watched television for an hour or more today. how many will watch for an hour or more tomorrow, in 2 days, and in 20 days? (round to the nearest whole number)

Answer 1

Realize that for a combination of M and L, this process become constant. Because as many will be moving from M to L, same will be moving to L to M.

Let's find that combination

M+L = 400

L*0.25 = M

solve the equations, L = 320, M = 80

day	M	L
0	200	200
1	50	350
2	88	313
3	78	322
4	80	320
5	80	320
6	80	320
7	80	320
8	80	320
9	80	320
10	80	320
11	80	320
12	80	320
13	80	320
14	80	320
15	80	320
16	80	320
17	80	320
18	80	320
19	80	320
20	80	320

so answer is 80 more than an hour and 320 less than an hour.