- 4 mat-weavers can weave 4 mats in 4 days.
- Mats woven by 8 mat-weavers in 8 days can be figure out in this way.
Explanation
Three given entities here are
- Mat Weavers
- Days
- Mats
To determine the relation here, let suppose; Mats woven by 8 mat-weavers in 8 days = y
Case I
Mat Weavers Mats
4 4
8 y
- Less mat weavers mean less mats.
- More mat weavers mean more mats.
This clearly indicates that there is direct relation.
Direct/Indirect relation tells how the equation will be written.
4 : 8 :: 4 : y ________ (i)
Case II
Days Mats
4 4
8 y
- Less days mean less mats.
- More days mean more mats.
This clearly indicates that there is direct relation.
Direct/Indirect relation tells how the equation will be written.
4 : 8 :: 4 : y ________ (ii)
By (i) and (ii)
4 : 8 :: 4 : y
4 : 8
4 x 4 x y = 8 x 8 x 4 ________ (A)
After simplifying equation (A), we can easily figure out the value of y (y = 16 mats)
To Find
Mats woven by 8 mat-weavers in 8 days = ?
Solution
Method I
Let suppose
Mats woven by 8 mat-weavers in 8 days = y
Mat Weavers Days Mats
4 4 4
8 8 y
- Relation between mat-weavers and mats is direct.
- Relation between days and mats is also direct.
So
4 : 8 :: 4 : y
4 : 8
4 x 4 x y = 8 x 8 x 4
16y = 256
y = 256/16
y = 16
Mats woven by 8 mat-weavers in 8 days = 16 mats
Method II
Mats woven by 4 mat-weavers in 4 days = 4 mats
Mats woven by 4 mat-weavers in 1 day = 4/4 mat
Mats woven by 4 mat-weavers in 1 day = 1 mat
Mats woven by 1 mat-weaver in 1 day = 1/4 mat
Mats woven by 1 mat-weaver in 8 days = 8/4 mats
Mats woven by 1 mat-weaver in 8 days = 2 mats
Mats woven by 8 mat-weavers in 8 days = (2 x 8) mats
Mats woven by 8 mat-weavers in 8 days = 16 mats
Mats woven by 8 mat-weavers in 8 days = 16 mats
Conclusion
4 mat-weavers can weave 4 mats in 4 days. At the same rate 16 mats would be woven by 8 mat-weavers in 8 days.
