Question

To stitch a trouser, 1 m 30 cm cloth is needed. Out of 25 m cloth, how many trousers can be stitched and how much cloth will remain?

Answer 1

Hint: Convert the given length into metres by using the conversion, 1 m = 100 cm. Now, divide the total length of the cloth given with the length of cloth required to stitch one trouser. The quotient obtained will be the number of trousers that can be stitched and the remainder will be the amount of cloth that will remain.

Complete step by step answer:
Here, we have been provided with 25 m cloth and we have to find the total number of trousers that can be stitched and the remaining cloth if 1 m 30 cm cloth is needed to stitch one trouser.
First let us convert the given unit of length from metre to centimetre. We know that to convert the length given in metres into centimetres, we multiply the numerical value with 100. So, the conversion formula is :
$\Rightarrow $ 1 m = 100 cm
Therefore, using the above conversion, we get,
Cloth needed to stitch one trouser = 1 m 30 cm = 130 cm
Total cloth available = 25 m = 2500 cm
Now, to find the number of trousers that can be stitched, we have to divide 2500 cm with 130 cm. So, on dividing, we can write,
$2500=130\times 19+30$
On comparing the above relation with the division rule given by : Dividend = divisor $\times $ quotient + remainder, we get that,
Quotient = 19 and remainder = 30.
Therefore, we can say that 19 trousers can be stitched and 30 cm cloth will remain.

Note:
One may note that while dividing 2500 with 130, we do not have to cancel the common factor 10. If we do this, then the expression will get changed and we will get the wrong remainder as the answer. Here, we have converted the length in metres into the length in centimetres. One can also change the length in centimetres into length in metres and then use the division to get the answer.