Mr. Forth's Fifth Grade

     At three o'clock in the afternoon, Mr. Forth started to give a lecture to a group of fifth-graders. There were fewer than 104 students present. There were three boys for every five girls.

     At 3:04 some students were asleep and some were awake. But by 3:05 one-fifth of those who had been awake had fallen asleep, and one-fourth of those who had been asleep were awake.

     If there were now as many students awake as asleep, how many fifth-graders were there? How many were boys, and how many were girls?

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     Extra: How many students were awake and how many were asleep at 3:04 p.m.?