Question

if 3 persons can weave 168 shawls in 14 days, how many similar shawls will be woven by 8 persons in 5 days

Answer 1

Step-by-step explanation:

Set the proportion for number of persons with the number of shawls. Both the quantities are in direct ratio.

Here, we are asked to find out the number of shawls, we compare each item with the number of shawls as shown below :

More number of persons ⇒ More shawls

Less number of persons ⇒ Less shawls

i.e. the relationship is direct.

Also, More number of days ⇒ More shawls

Less number of days ⇒ Less shawls

i.e. the relationship is direct.

Persons 3 : 8 : : 168 : x

Days 14 : 5

∴

3/8 x 14/5

= 168/x

∴3×14×x=168×8×5

⇒x= 168 x 8 x 5/ 3 x 14

=160 shawls