question_answer

                                               If 12 shirts of equal size can be prepared from 27 m cloth, what is length of cloth required for each shirt?

Answer:

\[\because \]Length of cloth = 27 m                  [given] Since, 12 shirts of equal size is to be prepared. \[\therefore \]Length of cloth required for each shirt \[=27\div 12m=\frac{27}{12}m\] \[\because \]       \[27=\text{ }3\times 3\times 3\]                                                                                                                           and       \[12=\text{ 2}\times 2\times 3\] \[\therefore \]HCF of 27 and 12 =3 On dividing numerator and denominator by their HCF, we get \[\frac{27\div 3}{12\div 3}=\frac{9}{4}=2.25\] So, for each shirt 2.25 m cloth is required.