Answer:
There are 70 sheep in the farm.
Step-by-step explanation:
Consider the provided information.
Let c represents the cows, s represents the sheep and p represents the pigs.
The number of cows and the number of sheep are in the ratio 6:5.
[tex]\dfrac{c}{s} =\dfrac{6}{5}[/tex]
[tex]c =\dfrac{6s}{5}[/tex]
The number of sheep and the number of pigs are in the ratio 2:1.
[tex]\dfrac{s}{p} =\dfrac{2}{1}[/tex]
[tex]p =\dfrac{s}{2}[/tex]
The total number is 189.
[tex]c+s+p=189[/tex]
Substitute the value of c and p in above.
[tex]\dfrac{6s}{5}+s+\dfrac{s}{2}=189[/tex]
[tex]\dfrac{12s+10s+5s}{10}=189[/tex]
[tex]27s=1890[/tex]
[tex]s=70[/tex]
Hence, there are 70 sheep in the farm.
