Question

To stitch a shirt, 2m15cm cloth is needed. Out of 40m cloth, how many shirts can be stitched, and how much cloth will remain?

Answer 1

Hint: In this question, we need to find the number of shirts that can be stitched from 40m cloth if one shirt requires 2m15cm. Also, we need to find the remaining cloth. For this, we will first change units of measurement of cloth into centimeters only. Then we will divide the given cloth by cloth required for one shirt. Since cloth will be left out so we will obtain both quotient and remainder after dividing. The quotient obtained will give us the number of shirts and the remainder will give us the remaining cloth in centimeters. Then we will change the centimeter to the meter.

Complete step-by-step solution
Here, we are given the total cloth at 40 meters. Since 2m15cm cloth is required to stitch a single shirt, so let us first make the units of both measures of clothes the same. As we know, 1 meter is equal to 100 centimeters. Therefore, 40 meters will be equal to $\left( 40\times 100 \right)$ centimeters which is equal to 4000cm.
Also, 2 meters will be equal to $\left( 2\times 100 \right)$ centimeters which is equal to 200cm.
Hence, 2m15cm = (200+15)cm = 215cm.
Now, let us find the total number of shirts.
The total number of shirts can be made from available cloth = total length of cloth available ÷ length of cloth needed for one shirt.
$\Rightarrow 4000\div 215$
So, let us divide 4000 by 215, we get:
\[215\overset{18}{\overline{\left){\begin{align}
  & 4000 \\
 & 215 \\
 & \overline{1850} \\
 & 1720 \\
 & \overline{\text{ }130} \\
\end{align}}\right.}}\]
Here, we have multiplied 215 to 1, which gives us the remainder of 1850. Then we multiplied 215 to 8, we got the remainder as 130.
So, as we can see from the division, the quotient is equal to 18 and the remainder is equal to 130.
Now, quotients will represent the number of shirts and the remainder will represent the left-out cloth. Hence, the number of shirts that can be made from 40m cloth when one shirt requires 2m15cm cloth is 18 and 130cm cloth is left.
Let us convert 130cm to m, since 100cm = 1m, so $130cm=\dfrac{130}{100}m=1m30cm$.
Hence, the remaining cloth is 1m30cm.

Note: Students should always keep in mind to convert all the units into the same units. Take care while dividing 4000 by 215. We have converted 130cm to m using division where 1 is the quotient and 30 is the remainder. Therefore, 1 will be in meters, and 30 will be in centimeters.