Question

If 36 trousers of equal sizes can be stitched with 64 meters of cloth. What is the length of the cloth required for each trouser?

Answer 1

Hint:
36 trousers are of equal sizes and the cloth of length 64 metres is required to stitch these 36 trousers. Divide the length of the total cloth by the total no. of trousers to get the length of the cloth required for each trouser.

Complete step-by-step solution:
We are given that 36 trousers of equal sizes can be stitched with 64 meters of cloth.
We have to calculate the length of the cloth required for each trouser.
Total no. of trousers = 36
Cloth required to stitch 36 trousers = 64 meters.
Cloth required to stitch 1 trousers = ${\displaystyle \frac{64}{36}}$ meters.

To get Cloth required to stitch each trouser, divide 64 by 36.
$$\begin{gathered} ={\displaystyle \frac{64}{36}} \\ =1.78m \end{gathered}$$
Cloth required to stitch each trouser is 1.78 meters or 178 centimeters.

Additional Information:
Trousers are an item of clothing. The difference between pants and trousers is that pants cover the body from the waist downwards whereas trousers cover the body between the waist and the ankles or knees.

Note:
We need the cloth required for each trouser which is in meters so we divide the total cloth with the total no. of trousers but not vice versa. Because, the units of the cloth are meters so the division must result in the same units. So when we divide no. of trousers by the total length we get different units, which is why we divided the length by the no. of trousers (vice versa).