Question

How much cloth will be used in making 6 shirts, if each required $2\frac{1}{4}m$ of cloth allowing $\frac{1}{8}m$ for waste in cutting and finishing in each shirt?

Answer 1

Cloth required in making one shirt
$=(2\frac{1}{4}+\frac{1}{8})=\frac{(2\times 4)+1}{4}+\frac{1}{8}=\frac{9}{4}+\frac{1}{8}=\frac{18+1}{8}[\because \text{LCM of 4 and 8 = 8}]=\frac{19}{8}m$
$\therefore$ Total cloth required in making such 6 shirt $=6\times$ cloth required in one shirt
$=6\times \frac{19}{8}=\frac{114}{8}=\frac{57}{4}=14\frac{1}{4}m$
Hence , $14\frac{1}{4}$ m cloth will be used in making 6 shirts.