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1. solution: suppose he uses x tons of water at home.

20× 1.2+(x-20)×2=56

24+2x-40=56

2x=-24+40+56

2x=72

x=36

Her family used 36 tons of water this month.

2. If the price is reduced by X billion yuan in 2004, the price will be reduced by 6 billion yuan in 2007.

54+x+35+40+6x=269

7x= 140

x=20

In 2004 and 2007, the amount of drug price reduction was 2 billion yuan and 654.38+0.2 billion yuan respectively.

3.①3x-2=5 3x=5+2 3x=7 x=7/3

②6-3(x+ 1/2)= 1 6-3x-3/2 = 1-3x =-6+3/2+ 1-3x =-7/2 x = 7/6

4.a plans to process X parts, and B plans to process 420-x parts.

x( 1+ 1 1%)+(420-x)( 1+8%)= 420×( 1+ 10%)

x=280

Party A and Party B each plan to process 280 140 parts.

5.①-2x+3=6-5x x= 1

②7/3x+ 1 = 1/3(x-3)7x+3 = x-3 x =- 1

③x-2/3-3x+ 1/6 = 1-2x = 3/2x =-3/4

④4(2y- 1)-2(5y+ 1/2)= 3 8y-4- 10y- 1 = 3-2y = 8y =-4

6.①y 1 = y2 5x-3/2 = 3x+4/6 x = 13/ 12

②(5x-3/2)-(3x+4/6)= 3 x = 3 1/ 12