Answer: 45
Step-by-step explanation:
Given : In a certain field, the ratio of pigs to sheep is [tex]\dfrac{8}{3}[/tex]. (1)
Let 3x be the total number of sheep and 8x be the number of pigs in the field.
If there are 165 pigs and sheep altogether in a field, then we have
[tex]3x+8x=165\\\\\Rightarrow\ 11x=165\\\\\Rightarrow\ x=\dfrac{165}{11}=15[/tex]
Now, the number of sheep are there = [tex]3x=3(15)=45[/tex]
Hence, there are 45 sheep.