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.