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

Step 1: Calculate the length of cloth required for making one shirt

Length of cloth required for making one shirt =
Length of cloth required for each shirt + Length of cloth wasted in cutting and finishing

$=2\frac{1}{4}m+\frac{1}{8}m$

$=\left(\frac{2\times 4+1}{4}\right)m+\frac{1}{8}m$

$=(\frac{9}{4}+\frac{1}{8})m$

L.C.M. of 4 and 8 is 8.

$=\left(\frac{18+1}{8}\right)m$

$=\frac{19}{8}$ m

Step 2: Calculate the length of cloth required for 6 shirts

Length of cloth required for 6 shirts
$=6\times$ Length of cloth required for making one shirt

$=6\times \frac{19}{8}$

$=\frac{114}{8}$ m

$=\frac{57}{4}$ m

$=14\frac{1}{4}$ m

Hence, $14\frac{1}{4}$ m cloth will be used in making 6 shirts.