There are 6x+4y= 100.
X>0, y>0, so X can take a number between 1 and 16, and Y can take a number between 1 and 24. However, tents can only be integers, so there are
When x=2, there are 12+4y= 100 solutions to get y=22.
When x=4, there are 24+4y=400 solutions to get y= 19.
When x=6, there are 36+4y= 100 solutions to get y= 16.
When x=8, there are 48+4y= 100 solutions to get y= 13.
When x= 10, 60+4y= 100 gives y= 10.
When x= 12, there are 72+4y= 100 solutions to get y=7.
When x= 14, there are 84+4y= 100 solutions to get y=4.
When x= 16, there are 96+4y= 100 solutions to get y= 1.
To sum up, there are eight distribution methods.