To solve this problem, we can use the concept of inverse variation. Inverse variation states that if two variables are inversely proportional, their product remains constant.

Given that 5 persons can weave 160 mats in 8 days, we can set up a proportion to find the number of mats that 8 persons will weave in 6 days.

Let "m" be the number of mats woven by 5 persons in 1 day.

We can find the value of "m" by dividing the total number of mats (160) by the number of days (8) and the number of persons (5): m = 160 / (8 * 5) = 4

Now, let "x" be the number of mats woven by 8 persons in 1 day.

Using inverse variation, we can set up the proportion: 5 * m = 8 * x

Substituting the value of "m" that we found earlier, we get: 5 * 4 = 8 * x

Simplifying, we find: 20 = 8x

Dividing both sides by 8, we get: x = 20 / 8 = 2.5

To find the number of mats woven