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?

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Solution

## Determine the length of the cloth in cm:Given, the length of the cloth $=40\mathrm{m}$$⇒$ $=40×100\mathrm{cm}$ $\left[\because 1m=100\mathrm{cm}\right]$$⇒$ $=4000\mathrm{cm}$Cloth required for stitching a shirt $=2\mathrm{m}15\mathrm{cm}$$⇒$ $=\left(2×100\right)+15\mathrm{cm}$ $\left[\because 1m=100\mathrm{cm}\right]$$⇒$ $=215\mathrm{cm}$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}$$⇒$ $=1\mathrm{m}30\mathrm{cm}$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.

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