Question

To stitch a shirt $2\mathrm{m}15\mathrm{cm}$ cloth is needed. Out of $40\mathrm{m}$ cloth, how many shirts can be stitched, and how much cloth will remain?

Answer 1

Determine the length of the cloth in cm:

Given, the length of the cloth $=40\mathrm{m}$

$\Rightarrow$ $=40\times 100\mathrm{cm}$ $\left[\because 1m=100\mathrm{cm}\right]$

$\Rightarrow$ $=4000\mathrm{cm}$

Cloth required for stitching a shirt $=2\mathrm{m}15\mathrm{cm}$

$\Rightarrow$ $=(2\times 100)+15\mathrm{cm}$ $\left[\because 1m=100\mathrm{cm}\right]$

$\Rightarrow$ $=215\mathrm{cm}$

So, in cloth of $40\mathrm{m}$ length, the number of shirts that can be stitched $=\frac{4000}{215}$ shirts.

$\because$ $4000$ divided by $215$ will give $130$ as a remainder and $18$ is the quotient.

$\therefore$ The number of shirts that can be stitched $=18$

And, the length of cloth left $=130\mathrm{cm}$

$\Rightarrow$ $=1\mathrm{m}30\mathrm{cm}$

Hence, $18$ shirts can be stitched from a cloth of length $40\mathrm{m}$ and $1\mathrm{m}30\mathrm{cm}$ of cloth will remain.