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The first volume of the seventh grade mathematics solves the linear equation of one yuan.
1. solution: for x adults, there are (12-x) students.

Then it is 35X+35/2*( 12-X)=350.

Then X=8.

So there are eight adults and four students.

2) The topic is wrong. Group tickets must include 12 people, otherwise it will not be possible.

Change the group ticket: 12*35*0.6=252 yuan, so the group ticket is more economical.

2. Solution: Set the original price of women's clothes as X yuan and men's clothes as (700-X) yuan.

Then 0.8X+0.85(700-X)=580.

So X=300.

The original price of women's clothes is 300, and that of men's clothes is 400.