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Jilin Dahui Training School has a class of 12 students, half of whom are boys and one third are girls.
Suppose there are x boys and y girls.

(x/2)+(y/3)= 12 ( 1)

(x/3)+(y/2)= 13 (2)

Solve equation X= 12

y= 18

x+y= 12+ 18=30

There are 30 students in this class.