Because the length of the stick is 100 cm, "dye a red dot every 5 cm from right to left" means "dye a red dot every 5 cm from left to right".

The least common multiple of 5, 6 is 30, and there are two short sticks of 1 cm every 30cm, three 30s for 100, and the remaining 1 0cm has short sticks of1cm.

So there are 2 * 3+ 1 = 7 short sticks 1 cm.