Solution:

1, with big rope x and small rope 25-x.

15x+25-x=22 1

14x= 196

x= 14

Then 25-x = 25-14 =11.

There are 14 big rope and 1 1 small rope.

2. There are X big ships and 10-x small boats.

6x+4( 10-x)=54

6x-4x=54-40

2x= 14

x=7

Then 10-x= 10-7=3.

That is, there are seven big ships and three small boats.

3. Set chess X pair and checkers 24-x pair.

2x+6(24-x)= 1 12

6x-2x = 144- 1 12

4x=32

x=8

Then, 24-x=24-8= 16.

That is, there are 8 pairs of chess and 6 pairs of checkers/kloc-0.

4. There are x chickens and 18-x rabbits.

2x+4( 18-x)=54

4x-2x=72-54

2x= 18

x=9

Then, 18-x= 18-9=9.

That is, 9 chickens and 9 rabbits.

5. There are x big barrels and 3 1-x small barrels.

4x+2.5(3 1-x)= 100

4x-2.5x= 100-77.5

1.5x=22.5

x= 15

Then, 31-x = 31-kloc-0/5 =16.

There are 15 vats and 16 vats.

6. set the damage X.

250×2-(20+2)x=478

22x=500-478

22x=22

x= 1

That is, damaged 1 piece.

7. If there are x pieces in 1 corner, there are 18-x pieces in corner 5.

x+5( 18-x)=62

5x-x=90-62

4x=28

x=7

Then,18-x =18-7 =11.

That is, there are 7 pieces in corner 1 and 7 pieces in corner 5 1 1.

8. There are X triangular cards and 40 rectangular cards.

3x+4(40-x)= 156

4x-3x= 160- 156

x=4

So, 40-x=40-4=36.

In other words, there are 4 triangular cards and 36 rectangular cards.