Answer:
total number of sheep in the farm = 28 [tex]\times[/tex] 6 = 168
Step-by-step explanation:
i) let the number of all sheep in the farm be x.
ii) 28 sheep were tagged.
iii) 18 sheep were observed and 3 were found to be tagged.
Therefore the ratio of tagged to sheep to the number of sheep observed
= [tex]\frac{3}{18} = \frac{1}{6}[/tex]
iv) therefore we can apply the ratio found in iii) as follows
[tex]\frac{number\hspace{0.15cm}of\hspace{0.15cm}sheep\hspace{0.15cm}tagged}{total\hspace{0.15cm}number\hspace{0.15cm} of\hspace{0.15cm} sheep} = \frac{28}{total\hspace{0.15cm}number\hspace{0.15cm} of\hspace{0.15cm} sheep} = \frac{1}{6}[/tex]
∴ total number of sheep in the farm = 28 [tex]\times[/tex] 6 = 168
