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Guangming district mathematics
Solution: The proportion of students in outer suburbs: 1-3, 1-7, 2-5,1=1-65438+35-105, 30-65438+2655.

The number of participants is a multiple of 105. Then the number of participants is one of 2 100, 2205, 23 10, 24 15, 2520, 2625, 2730, 2835, 2940.

( 1)

The winning proportion in Guangming District is 1*24+0 = 1=72.

The winning proportion in the central area is 2* 16 = 1=56.

The number of winners in Chaoyang District accounts for1*18 =1= 90+0.

The least common multiple of 72, 56 and 90 is 2520, and the number of participants should be a multiple of 2520.

(2)

Based on (1) and (2), the number of participants is 2520.

The number of winners in the first three districts is 2520 * (1* 561* 901) =108, which is 6/7 of the total number of winners, so the number of winners is108/6/7 =/kloc-.

The number of participants was 2520, and the number of winners was 126.