Once upon a time, there was a mountain with a temple on it. There are 65,438+000 monks in the temple, who are eating 65,438+000 steamed buns. Big monk 1 ate three, and little monk 3 ate 1. How many big and small monks are there in this temple?

Let the big monk have X and the little monk have100-x3x+(100-x)/3 =1003x+100/3 =1008x = 200x = 25. 75 young monks.

2. How many times is the angle between the hour hand and the minute hand on the clock face 60 degrees from 2 o'clock to 4 o'clock? What time is it now?

First of all, there are two situations when the included angle is 60 degrees. One is that the minute hand is in front of the hour hand, and the other is that the included angle between two points is 60 degrees. The hour hand turns twice at four o'clock, so there are four times when the included angle is 60 degrees. The equation of the first circle is: 1), 2 o'clock is positive, 2), and if the included angle is 60 degrees after x minutes, it is 360 *. If x = 240/11= 21.8, the included angle at 2: 22 is 60 degrees, and the equation of the second circle is:1). If the included angle is 60 degrees when three points intersect X, the minute hand is 90+(360/65438+). The solution is x=60/ 1 1=5.45, and the minute hand is 360 * (x/60)-90-(360/12) * (x/60) = 60, so the solution is x=27.3.